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Finding the Fourth Proportional to 16,264.72, 22,445.36 and 9,191.12

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Solution

The fourth proportional to 16,264.72, 22,445.36 and 9,191.12 is: 12,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.72 : 22,445.36 = 9,191.12 : x
  2. Step 2: Convert to fraction form
    16,264.72/22,445.36 = 9,191.12/x
  3. Step 3: Cross multiply
    16,264.72x = 22,445.36 × 9,191.12
  4. Step 4: Simplify right side
    16,264.72x = 206,297,997.20
  5. Step 5: Solve for x
    x = 206,297,997.20/16,264.72
  6. Step 6: Final answer
    x = 12,683.77

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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.