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Finding the Fourth Proportional to 24,277.65, 36,401.88 and 9,493.53

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Solution

The fourth proportional to 24,277.65, 36,401.88 and 9,493.53 is: 14,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.65 : 36,401.88 = 9,493.53 : x
  2. Step 2: Convert to fraction form
    24,277.65/36,401.88 = 9,493.53/x
  3. Step 3: Cross multiply
    24,277.65x = 36,401.88 × 9,493.53
  4. Step 4: Simplify right side
    24,277.65x = 345,582,314.61
  5. Step 5: Solve for x
    x = 345,582,314.61/24,277.65
  6. Step 6: Final answer
    x = 14,234.59

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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.