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Finding the Fourth Proportional to 15,422.28, 23,137.08 and 5,034

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Solution

The fourth proportional to 15,422.28, 23,137.08 and 5,034 is: 7,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.28 : 23,137.08 = 5,034 : x
  2. Step 2: Convert to fraction form
    15,422.28/23,137.08 = 5,034/x
  3. Step 3: Cross multiply
    15,422.28x = 23,137.08 × 5,034
  4. Step 4: Simplify right side
    15,422.28x = 116,472,060.72
  5. Step 5: Solve for x
    x = 116,472,060.72/15,422.28
  6. Step 6: Final answer
    x = 7,552.19

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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.