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Finding the Fourth Proportional to 13,689.77, 20,537.18 and 4,332.14

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Solution

The fourth proportional to 13,689.77, 20,537.18 and 4,332.14 is: 6,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.77 : 20,537.18 = 4,332.14 : x
  2. Step 2: Convert to fraction form
    13,689.77/20,537.18 = 4,332.14/x
  3. Step 3: Cross multiply
    13,689.77x = 20,537.18 × 4,332.14
  4. Step 4: Simplify right side
    13,689.77x = 88,969,836.28
  5. Step 5: Solve for x
    x = 88,969,836.28/13,689.77
  6. Step 6: Final answer
    x = 6,499.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.