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Finding the Fourth Proportional to 10,501.48, 15,752.24 and 9,859.96

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Solution

The fourth proportional to 10,501.48, 15,752.24 and 9,859.96 is: 14,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.48 : 15,752.24 = 9,859.96 : x
  2. Step 2: Convert to fraction form
    10,501.48/15,752.24 = 9,859.96/x
  3. Step 3: Cross multiply
    10,501.48x = 15,752.24 × 9,859.96
  4. Step 4: Simplify right side
    10,501.48x = 155,316,456.31
  5. Step 5: Solve for x
    x = 155,316,456.31/10,501.48
  6. Step 6: Final answer
    x = 14,789.96

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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.