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Finding the Fourth Proportional to 13,850, 19,113.06 and 7,562.51

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Solution

The fourth proportional to 13,850, 19,113.06 and 7,562.51 is: 10,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850 : 19,113.06 = 7,562.51 : x
  2. Step 2: Convert to fraction form
    13,850/19,113.06 = 7,562.51/x
  3. Step 3: Cross multiply
    13,850x = 19,113.06 × 7,562.51
  4. Step 4: Simplify right side
    13,850x = 144,542,707.38
  5. Step 5: Solve for x
    x = 144,542,707.38/13,850
  6. Step 6: Final answer
    x = 10,436.30

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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.