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Finding the Fourth Proportional to 24,522.67, 36,776.84 and 11,188.13

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Solution

The fourth proportional to 24,522.67, 36,776.84 and 11,188.13 is: 16,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.67 : 36,776.84 = 11,188.13 : x
  2. Step 2: Convert to fraction form
    24,522.67/36,776.84 = 11,188.13/x
  3. Step 3: Cross multiply
    24,522.67x = 36,776.84 × 11,188.13
  4. Step 4: Simplify right side
    24,522.67x = 411,463,827.08
  5. Step 5: Solve for x
    x = 411,463,827.08/24,522.67
  6. Step 6: Final answer
    x = 16,778.91

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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.