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Finding the Fourth Proportional to 16,159.52, 22,299.18 and 9,085.43

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Solution

The fourth proportional to 16,159.52, 22,299.18 and 9,085.43 is: 12,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.52 : 22,299.18 = 9,085.43 : x
  2. Step 2: Convert to fraction form
    16,159.52/22,299.18 = 9,085.43/x
  3. Step 3: Cross multiply
    16,159.52x = 22,299.18 × 9,085.43
  4. Step 4: Simplify right side
    16,159.52x = 202,597,638.95
  5. Step 5: Solve for x
    x = 202,597,638.95/16,159.52
  6. Step 6: Final answer
    x = 12,537.36

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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.