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Finding the Fourth Proportional to 24,918, 37,377 and 9,342.96

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Solution

The fourth proportional to 24,918, 37,377 and 9,342.96 is: 14,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918 : 37,377 = 9,342.96 : x
  2. Step 2: Convert to fraction form
    24,918/37,377 = 9,342.96/x
  3. Step 3: Cross multiply
    24,918x = 37,377 × 9,342.96
  4. Step 4: Simplify right side
    24,918x = 349,211,815.92
  5. Step 5: Solve for x
    x = 349,211,815.92/24,918
  6. Step 6: Final answer
    x = 14,014.44

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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.