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Finding the Fourth Proportional to 15,462.25, 23,193.44 and 6,575.29

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Solution

The fourth proportional to 15,462.25, 23,193.44 and 6,575.29 is: 9,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.25 : 23,193.44 = 6,575.29 : x
  2. Step 2: Convert to fraction form
    15,462.25/23,193.44 = 6,575.29/x
  3. Step 3: Cross multiply
    15,462.25x = 23,193.44 × 6,575.29
  4. Step 4: Simplify right side
    15,462.25x = 152,503,594.10
  5. Step 5: Solve for x
    x = 152,503,594.10/15,462.25
  6. Step 6: Final answer
    x = 9,862.96

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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.