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Finding the Fourth Proportional to 15,585.28, 23,377.92 and 7,271.12

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Solution

The fourth proportional to 15,585.28, 23,377.92 and 7,271.12 is: 10,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.28 : 23,377.92 = 7,271.12 : x
  2. Step 2: Convert to fraction form
    15,585.28/23,377.92 = 7,271.12/x
  3. Step 3: Cross multiply
    15,585.28x = 23,377.92 × 7,271.12
  4. Step 4: Simplify right side
    15,585.28x = 169,983,561.35
  5. Step 5: Solve for x
    x = 169,983,561.35/15,585.28
  6. Step 6: Final answer
    x = 10,906.68

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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.