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Finding the Fourth Proportional to 16,182.50, 24,273.72 and 9,252.14

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Solution

The fourth proportional to 16,182.50, 24,273.72 and 9,252.14 is: 13,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.50 : 24,273.72 = 9,252.14 : x
  2. Step 2: Convert to fraction form
    16,182.50/24,273.72 = 9,252.14/x
  3. Step 3: Cross multiply
    16,182.50x = 24,273.72 × 9,252.14
  4. Step 4: Simplify right side
    16,182.50x = 224,583,855.76
  5. Step 5: Solve for x
    x = 224,583,855.76/16,182.50
  6. Step 6: Final answer
    x = 13,878.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.