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Finding the Fourth Proportional to 16,085.52, 24,154.82 and 10,854.14

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Solution

The fourth proportional to 16,085.52, 24,154.82 and 10,854.14 is: 16,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.52 : 24,154.82 = 10,854.14 : x
  2. Step 2: Convert to fraction form
    16,085.52/24,154.82 = 10,854.14/x
  3. Step 3: Cross multiply
    16,085.52x = 24,154.82 × 10,854.14
  4. Step 4: Simplify right side
    16,085.52x = 262,179,797.95
  5. Step 5: Solve for x
    x = 262,179,797.95/16,085.52
  6. Step 6: Final answer
    x = 16,299.12

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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.