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Finding the Fourth Proportional to 24,513.66, 36,773.88 and 7,869.78

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Solution

The fourth proportional to 24,513.66, 36,773.88 and 7,869.78 is: 11,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.66 : 36,773.88 = 7,869.78 : x
  2. Step 2: Convert to fraction form
    24,513.66/36,773.88 = 7,869.78/x
  3. Step 3: Cross multiply
    24,513.66x = 36,773.88 × 7,869.78
  4. Step 4: Simplify right side
    24,513.66x = 289,402,345.35
  5. Step 5: Solve for x
    x = 289,402,345.35/24,513.66
  6. Step 6: Final answer
    x = 11,805.76

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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.