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Finding the Fourth Proportional to 15,456.96, 23,144.24 and 10,536.24

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Solution

The fourth proportional to 15,456.96, 23,144.24 and 10,536.24 is: 15,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.96 : 23,144.24 = 10,536.24 : x
  2. Step 2: Convert to fraction form
    15,456.96/23,144.24 = 10,536.24/x
  3. Step 3: Cross multiply
    15,456.96x = 23,144.24 × 10,536.24
  4. Step 4: Simplify right side
    15,456.96x = 243,853,267.26
  5. Step 5: Solve for x
    x = 243,853,267.26/15,456.96
  6. Step 6: Final answer
    x = 15,776.28

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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.