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Finding the Fourth Proportional to 16,098.14, 24,152.07 and 10,854.20

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Solution

The fourth proportional to 16,098.14, 24,152.07 and 10,854.20 is: 16,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.14 : 24,152.07 = 10,854.20 : x
  2. Step 2: Convert to fraction form
    16,098.14/24,152.07 = 10,854.20/x
  3. Step 3: Cross multiply
    16,098.14x = 24,152.07 × 10,854.20
  4. Step 4: Simplify right side
    16,098.14x = 262,151,277.43
  5. Step 5: Solve for x
    x = 262,151,277.43/16,098.14
  6. Step 6: Final answer
    x = 16,284.57

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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.