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Finding the Fourth Proportional to 13,686.80, 18,887.72 and 7,399.17

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Solution

The fourth proportional to 13,686.80, 18,887.72 and 7,399.17 is: 10,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.80 : 18,887.72 = 7,399.17 : x
  2. Step 2: Convert to fraction form
    13,686.80/18,887.72 = 7,399.17/x
  3. Step 3: Cross multiply
    13,686.80x = 18,887.72 × 7,399.17
  4. Step 4: Simplify right side
    13,686.80x = 139,753,414.20
  5. Step 5: Solve for x
    x = 139,753,414.20/13,686.80
  6. Step 6: Final answer
    x = 10,210.82

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