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Finding the Fourth Proportional to 24,924.53, 37,393.10 and 8,284.65

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Solution

The fourth proportional to 24,924.53, 37,393.10 and 8,284.65 is: 12,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924.53 : 37,393.10 = 8,284.65 : x
  2. Step 2: Convert to fraction form
    24,924.53/37,393.10 = 8,284.65/x
  3. Step 3: Cross multiply
    24,924.53x = 37,393.10 × 8,284.65
  4. Step 4: Simplify right side
    24,924.53x = 309,788,517.53
  5. Step 5: Solve for x
    x = 309,788,517.53/24,924.53
  6. Step 6: Final answer
    x = 12,429.06

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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.