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Finding the Fourth Proportional to 15,711.82, 23,564.08 and 4,615.53

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Solution

The fourth proportional to 15,711.82, 23,564.08 and 4,615.53 is: 6,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.82 : 23,564.08 = 4,615.53 : x
  2. Step 2: Convert to fraction form
    15,711.82/23,564.08 = 4,615.53/x
  3. Step 3: Cross multiply
    15,711.82x = 23,564.08 × 4,615.53
  4. Step 4: Simplify right side
    15,711.82x = 108,760,635.57
  5. Step 5: Solve for x
    x = 108,760,635.57/15,711.82
  6. Step 6: Final answer
    x = 6,922.22

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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.