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Finding the Fourth Proportional to 15,246.08, 22,872 and 6,480.96

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Solution

The fourth proportional to 15,246.08, 22,872 and 6,480.96 is: 9,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.08 : 22,872 = 6,480.96 : x
  2. Step 2: Convert to fraction form
    15,246.08/22,872 = 6,480.96/x
  3. Step 3: Cross multiply
    15,246.08x = 22,872 × 6,480.96
  4. Step 4: Simplify right side
    15,246.08x = 148,232,517.12
  5. Step 5: Solve for x
    x = 148,232,517.12/15,246.08
  6. Step 6: Final answer
    x = 9,722.66

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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.