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Finding the Fourth Proportional to 24,369.72, 36,555.89 and 7,731.02

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Solution

The fourth proportional to 24,369.72, 36,555.89 and 7,731.02 is: 11,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.72 : 36,555.89 = 7,731.02 : x
  2. Step 2: Convert to fraction form
    24,369.72/36,555.89 = 7,731.02/x
  3. Step 3: Cross multiply
    24,369.72x = 36,555.89 × 7,731.02
  4. Step 4: Simplify right side
    24,369.72x = 282,614,316.71
  5. Step 5: Solve for x
    x = 282,614,316.71/24,369.72
  6. Step 6: Final answer
    x = 11,596.95

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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.