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Finding the Fourth Proportional to 23,096.72, 34,642.92 and 6,458.24

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Solution

The fourth proportional to 23,096.72, 34,642.92 and 6,458.24 is: 9,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.72 : 34,642.92 = 6,458.24 : x
  2. Step 2: Convert to fraction form
    23,096.72/34,642.92 = 6,458.24/x
  3. Step 3: Cross multiply
    23,096.72x = 34,642.92 × 6,458.24
  4. Step 4: Simplify right side
    23,096.72x = 223,732,291.66
  5. Step 5: Solve for x
    x = 223,732,291.66/23,096.72
  6. Step 6: Final answer
    x = 9,686.76

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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.