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Finding the Fourth Proportional to 14,301,264.13, 19,735,969.05 and 7,774,918.51

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Solution

The fourth proportional to 14,301,264.13, 19,735,969.05 and 7,774,918.51 is: 10,729,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301,264.13 : 19,735,969.05 = 7,774,918.51 : x
  2. Step 2: Convert to fraction form
    14,301,264.13/19,735,969.05 = 7,774,918.51/x
  3. Step 3: Cross multiply
    14,301,264.13x = 19,735,969.05 × 7,774,918.51
  4. Step 4: Simplify right side
    14,301,264.13x = 153,445,551,040,757.53
  5. Step 5: Solve for x
    x = 153,445,551,040,757.53/14,301,264.13
  6. Step 6: Final answer
    x = 10,729,509.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.