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Finding the Fourth Proportional to 15,466.71, 23,170.17 and 9,231.69

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Solution

The fourth proportional to 15,466.71, 23,170.17 and 9,231.69 is: 13,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466.71 : 23,170.17 = 9,231.69 : x
  2. Step 2: Convert to fraction form
    15,466.71/23,170.17 = 9,231.69/x
  3. Step 3: Cross multiply
    15,466.71x = 23,170.17 × 9,231.69
  4. Step 4: Simplify right side
    15,466.71x = 213,899,826.69
  5. Step 5: Solve for x
    x = 213,899,826.69/15,466.71
  6. Step 6: Final answer
    x = 13,829.69

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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.