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Finding the Fourth Proportional to 10,500.56, 15,757.14 and 9,424.88

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Solution

The fourth proportional to 10,500.56, 15,757.14 and 9,424.88 is: 14,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.56 : 15,757.14 = 9,424.88 : x
  2. Step 2: Convert to fraction form
    10,500.56/15,757.14 = 9,424.88/x
  3. Step 3: Cross multiply
    10,500.56x = 15,757.14 × 9,424.88
  4. Step 4: Simplify right side
    10,500.56x = 148,509,153.64
  5. Step 5: Solve for x
    x = 148,509,153.64/10,500.56
  6. Step 6: Final answer
    x = 14,142.97

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Why These Related Problems?

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