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Finding the Fourth Proportional to 13,543.97, 18,651.92 and 12,700.14

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Solution

The fourth proportional to 13,543.97, 18,651.92 and 12,700.14 is: 17,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.97 : 18,651.92 = 12,700.14 : x
  2. Step 2: Convert to fraction form
    13,543.97/18,651.92 = 12,700.14/x
  3. Step 3: Cross multiply
    13,543.97x = 18,651.92 × 12,700.14
  4. Step 4: Simplify right side
    13,543.97x = 236,881,931.77
  5. Step 5: Solve for x
    x = 236,881,931.77/13,543.97
  6. Step 6: Final answer
    x = 17,489.85

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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.