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Finding the Fourth Proportional to 16,085.39, 24,118.97 and 7,311.87

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Solution

The fourth proportional to 16,085.39, 24,118.97 and 7,311.87 is: 10,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.39 : 24,118.97 = 7,311.87 : x
  2. Step 2: Convert to fraction form
    16,085.39/24,118.97 = 7,311.87/x
  3. Step 3: Cross multiply
    16,085.39x = 24,118.97 × 7,311.87
  4. Step 4: Simplify right side
    16,085.39x = 176,354,736.61
  5. Step 5: Solve for x
    x = 176,354,736.61/16,085.39
  6. Step 6: Final answer
    x = 10,963.66

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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.