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Finding the Fourth Proportional to 24,950.32, 37,397.14 and 8,306.44

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Solution

The fourth proportional to 24,950.32, 37,397.14 and 8,306.44 is: 12,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950.32 : 37,397.14 = 8,306.44 : x
  2. Step 2: Convert to fraction form
    24,950.32/37,397.14 = 8,306.44/x
  3. Step 3: Cross multiply
    24,950.32x = 37,397.14 × 8,306.44
  4. Step 4: Simplify right side
    24,950.32x = 310,637,099.58
  5. Step 5: Solve for x
    x = 310,637,099.58/24,950.32
  6. Step 6: Final answer
    x = 12,450.23

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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.