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Finding the Fourth Proportional to 16,311.38, 22,509.70 and 9,240.08

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Solution

The fourth proportional to 16,311.38, 22,509.70 and 9,240.08 is: 12,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.38 : 22,509.70 = 9,240.08 : x
  2. Step 2: Convert to fraction form
    16,311.38/22,509.70 = 9,240.08/x
  3. Step 3: Cross multiply
    16,311.38x = 22,509.70 × 9,240.08
  4. Step 4: Simplify right side
    16,311.38x = 207,991,293.13
  5. Step 5: Solve for x
    x = 207,991,293.13/16,311.38
  6. Step 6: Final answer
    x = 12,751.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.