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Finding the Fourth Proportional to 16,098.10, 24,121.23 and 9,929.14

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Solution

The fourth proportional to 16,098.10, 24,121.23 and 9,929.14 is: 14,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.10 : 24,121.23 = 9,929.14 : x
  2. Step 2: Convert to fraction form
    16,098.10/24,121.23 = 9,929.14/x
  3. Step 3: Cross multiply
    16,098.10x = 24,121.23 × 9,929.14
  4. Step 4: Simplify right side
    16,098.10x = 239,503,069.64
  5. Step 5: Solve for x
    x = 239,503,069.64/16,098.10
  6. Step 6: Final answer
    x = 14,877.72

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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.