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Finding the Fourth Proportional to 16,255.34, 22,432.10 and 9,085.42

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Solution

The fourth proportional to 16,255.34, 22,432.10 and 9,085.42 is: 12,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.34 : 22,432.10 = 9,085.42 : x
  2. Step 2: Convert to fraction form
    16,255.34/22,432.10 = 9,085.42/x
  3. Step 3: Cross multiply
    16,255.34x = 22,432.10 × 9,085.42
  4. Step 4: Simplify right side
    16,255.34x = 203,804,948.47
  5. Step 5: Solve for x
    x = 203,804,948.47/16,255.34
  6. Step 6: Final answer
    x = 12,537.73

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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.