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Finding the Fourth Proportional to 13,562.57, 18,713.61 and 7,898.24

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Solution

The fourth proportional to 13,562.57, 18,713.61 and 7,898.24 is: 10,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.57 : 18,713.61 = 7,898.24 : x
  2. Step 2: Convert to fraction form
    13,562.57/18,713.61 = 7,898.24/x
  3. Step 3: Cross multiply
    13,562.57x = 18,713.61 × 7,898.24
  4. Step 4: Simplify right side
    13,562.57x = 147,804,489.48
  5. Step 5: Solve for x
    x = 147,804,489.48/13,562.57
  6. Step 6: Final answer
    x = 10,897.97

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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.