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Finding the Fourth Proportional to 24,929.22, 37,385.75 and 8,284.78

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Solution

The fourth proportional to 24,929.22, 37,385.75 and 8,284.78 is: 12,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,929.22 : 37,385.75 = 8,284.78 : x
  2. Step 2: Convert to fraction form
    24,929.22/37,385.75 = 8,284.78/x
  3. Step 3: Cross multiply
    24,929.22x = 37,385.75 × 8,284.78
  4. Step 4: Simplify right side
    24,929.22x = 309,732,781.33
  5. Step 5: Solve for x
    x = 309,732,781.33/24,929.22
  6. Step 6: Final answer
    x = 12,424.49

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