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Finding the Fourth Proportional to 24,747.74, 37,123.12 and 9,956.64

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Solution

The fourth proportional to 24,747.74, 37,123.12 and 9,956.64 is: 14,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.74 : 37,123.12 = 9,956.64 : x
  2. Step 2: Convert to fraction form
    24,747.74/37,123.12 = 9,956.64/x
  3. Step 3: Cross multiply
    24,747.74x = 37,123.12 × 9,956.64
  4. Step 4: Simplify right side
    24,747.74x = 369,621,553.96
  5. Step 5: Solve for x
    x = 369,621,553.96/24,747.74
  6. Step 6: Final answer
    x = 14,935.57

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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.