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Finding the Fourth Proportional to 16,256.31, 22,425.28 and 9,537.42

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Solution

The fourth proportional to 16,256.31, 22,425.28 and 9,537.42 is: 13,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.31 : 22,425.28 = 9,537.42 : x
  2. Step 2: Convert to fraction form
    16,256.31/22,425.28 = 9,537.42/x
  3. Step 3: Cross multiply
    16,256.31x = 22,425.28 × 9,537.42
  4. Step 4: Simplify right side
    16,256.31x = 213,879,313.98
  5. Step 5: Solve for x
    x = 213,879,313.98/16,256.31
  6. Step 6: Final answer
    x = 13,156.70

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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.