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Finding the Fourth Proportional to 15,833.72, 23,729.96 and 6,462.74

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Solution

The fourth proportional to 15,833.72, 23,729.96 and 6,462.74 is: 9,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.72 : 23,729.96 = 6,462.74 : x
  2. Step 2: Convert to fraction form
    15,833.72/23,729.96 = 6,462.74/x
  3. Step 3: Cross multiply
    15,833.72x = 23,729.96 × 6,462.74
  4. Step 4: Simplify right side
    15,833.72x = 153,360,561.69
  5. Step 5: Solve for x
    x = 153,360,561.69/15,833.72
  6. Step 6: Final answer
    x = 9,685.69

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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.