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Finding the Fourth Proportional to 15,143.32, 22,711.44 and 5,779.90

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Solution

The fourth proportional to 15,143.32, 22,711.44 and 5,779.90 is: 8,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.32 : 22,711.44 = 5,779.90 : x
  2. Step 2: Convert to fraction form
    15,143.32/22,711.44 = 5,779.90/x
  3. Step 3: Cross multiply
    15,143.32x = 22,711.44 × 5,779.90
  4. Step 4: Simplify right side
    15,143.32x = 131,269,738.50
  5. Step 5: Solve for x
    x = 131,269,738.50/15,143.32
  6. Step 6: Final answer
    x = 8,668.49

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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.