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Finding the Fourth Proportional to 14,301,264.76, 19,735,969.91 and 7,774,919.14

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Solution

The fourth proportional to 14,301,264.76, 19,735,969.91 and 7,774,919.14 is: 10,729,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301,264.76 : 19,735,969.91 = 7,774,919.14 : x
  2. Step 2: Convert to fraction form
    14,301,264.76/19,735,969.91 = 7,774,919.14/x
  3. Step 3: Cross multiply
    14,301,264.76x = 19,735,969.91 × 7,774,919.14
  4. Step 4: Simplify right side
    14,301,264.76x = 153,445,570,169,820.47
  5. Step 5: Solve for x
    x = 153,445,570,169,820.47/14,301,264.76
  6. Step 6: Final answer
    x = 10,729,510.49

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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.