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Finding the Fourth Proportional to 24,763.27, 37,144.77 and 8,123.17

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Solution

The fourth proportional to 24,763.27, 37,144.77 and 8,123.17 is: 12,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.27 : 37,144.77 = 8,123.17 : x
  2. Step 2: Convert to fraction form
    24,763.27/37,144.77 = 8,123.17/x
  3. Step 3: Cross multiply
    24,763.27x = 37,144.77 × 8,123.17
  4. Step 4: Simplify right side
    24,763.27x = 301,733,281.32
  5. Step 5: Solve for x
    x = 301,733,281.32/24,763.27
  6. Step 6: Final answer
    x = 12,184.71

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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.