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Finding the Fourth Proportional to 16,352.48, 22,565.49 and 9,181.76

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Solution

The fourth proportional to 16,352.48, 22,565.49 and 9,181.76 is: 12,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.48 : 22,565.49 = 9,181.76 : x
  2. Step 2: Convert to fraction form
    16,352.48/22,565.49 = 9,181.76/x
  3. Step 3: Cross multiply
    16,352.48x = 22,565.49 × 9,181.76
  4. Step 4: Simplify right side
    16,352.48x = 207,190,766.20
  5. Step 5: Solve for x
    x = 207,190,766.20/16,352.48
  6. Step 6: Final answer
    x = 12,670.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.