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Finding the Fourth Proportional to 13,985.76, 20,935.17 and 10,454.97

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Solution

The fourth proportional to 13,985.76, 20,935.17 and 10,454.97 is: 15,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.76 : 20,935.17 = 10,454.97 : x
  2. Step 2: Convert to fraction form
    13,985.76/20,935.17 = 10,454.97/x
  3. Step 3: Cross multiply
    13,985.76x = 20,935.17 × 10,454.97
  4. Step 4: Simplify right side
    13,985.76x = 218,876,574.29
  5. Step 5: Solve for x
    x = 218,876,574.29/13,985.76
  6. Step 6: Final answer
    x = 15,649.96

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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.