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Finding the Fourth Proportional to 15,031.32, 22,527.76 and 7,133.80

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Solution

The fourth proportional to 15,031.32, 22,527.76 and 7,133.80 is: 10,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.32 : 22,527.76 = 7,133.80 : x
  2. Step 2: Convert to fraction form
    15,031.32/22,527.76 = 7,133.80/x
  3. Step 3: Cross multiply
    15,031.32x = 22,527.76 × 7,133.80
  4. Step 4: Simplify right side
    15,031.32x = 160,708,534.29
  5. Step 5: Solve for x
    x = 160,708,534.29/15,031.32
  6. Step 6: Final answer
    x = 10,691.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.