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Finding the Fourth Proportional to 15,151.32, 22,689 and 9,587.88

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Solution

The fourth proportional to 15,151.32, 22,689 and 9,587.88 is: 14,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.32 : 22,689 = 9,587.88 : x
  2. Step 2: Convert to fraction form
    15,151.32/22,689 = 9,587.88/x
  3. Step 3: Cross multiply
    15,151.32x = 22,689 × 9,587.88
  4. Step 4: Simplify right side
    15,151.32x = 217,539,409.32
  5. Step 5: Solve for x
    x = 217,539,409.32/15,151.32
  6. Step 6: Final answer
    x = 14,357.79

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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.