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Finding the Fourth Proportional to 15,169.32, 22,711.50 and 11,459.88

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Solution

The fourth proportional to 15,169.32, 22,711.50 and 11,459.88 is: 17,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.32 : 22,711.50 = 11,459.88 : x
  2. Step 2: Convert to fraction form
    15,169.32/22,711.50 = 11,459.88/x
  3. Step 3: Cross multiply
    15,169.32x = 22,711.50 × 11,459.88
  4. Step 4: Simplify right side
    15,169.32x = 260,271,064.62
  5. Step 5: Solve for x
    x = 260,271,064.62/15,169.32
  6. Step 6: Final answer
    x = 17,157.73

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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.