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Finding the Fourth Proportional to 24,285.16, 36,431.88 and 11,138.59

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Solution

The fourth proportional to 24,285.16, 36,431.88 and 11,138.59 is: 16,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.16 : 36,431.88 = 11,138.59 : x
  2. Step 2: Convert to fraction form
    24,285.16/36,431.88 = 11,138.59/x
  3. Step 3: Cross multiply
    24,285.16x = 36,431.88 × 11,138.59
  4. Step 4: Simplify right side
    24,285.16x = 405,799,774.25
  5. Step 5: Solve for x
    x = 405,799,774.25/24,285.16
  6. Step 6: Final answer
    x = 16,709.78

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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.