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Finding the Fourth Proportional to 13,686.80, 18,887.68 and 7,399.16

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Solution

The fourth proportional to 13,686.80, 18,887.68 and 7,399.16 is: 10,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.80 : 18,887.68 = 7,399.16 : x
  2. Step 2: Convert to fraction form
    13,686.80/18,887.68 = 7,399.16/x
  3. Step 3: Cross multiply
    13,686.80x = 18,887.68 × 7,399.16
  4. Step 4: Simplify right side
    13,686.80x = 139,752,966.35
  5. Step 5: Solve for x
    x = 139,752,966.35/13,686.80
  6. Step 6: Final answer
    x = 10,210.78

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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.