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Finding the Fourth Proportional to 15,106.62, 22,672.08 and 7,713.04

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Solution

The fourth proportional to 15,106.62, 22,672.08 and 7,713.04 is: 11,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.62 : 22,672.08 = 7,713.04 : x
  2. Step 2: Convert to fraction form
    15,106.62/22,672.08 = 7,713.04/x
  3. Step 3: Cross multiply
    15,106.62x = 22,672.08 × 7,713.04
  4. Step 4: Simplify right side
    15,106.62x = 174,870,659.92
  5. Step 5: Solve for x
    x = 174,870,659.92/15,106.62
  6. Step 6: Final answer
    x = 11,575.76

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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.