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Finding the Fourth Proportional to 16,232.90, 22,398.19 and 9,520.63

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Solution

The fourth proportional to 16,232.90, 22,398.19 and 9,520.63 is: 13,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.90 : 22,398.19 = 9,520.63 : x
  2. Step 2: Convert to fraction form
    16,232.90/22,398.19 = 9,520.63/x
  3. Step 3: Cross multiply
    16,232.90x = 22,398.19 × 9,520.63
  4. Step 4: Simplify right side
    16,232.90x = 213,244,799.86
  5. Step 5: Solve for x
    x = 213,244,799.86/16,232.90
  6. Step 6: Final answer
    x = 13,136.58

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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.