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Finding the Fourth Proportional to 16,085.10, 24,113.82 and 7,753.68

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Solution

The fourth proportional to 16,085.10, 24,113.82 and 7,753.68 is: 11,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.10 : 24,113.82 = 7,753.68 : x
  2. Step 2: Convert to fraction form
    16,085.10/24,113.82 = 7,753.68/x
  3. Step 3: Cross multiply
    16,085.10x = 24,113.82 × 7,753.68
  4. Step 4: Simplify right side
    16,085.10x = 186,970,843.86
  5. Step 5: Solve for x
    x = 186,970,843.86/16,085.10
  6. Step 6: Final answer
    x = 11,623.85

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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.