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Finding the Fourth Proportional to 23,691.66, 35,537.31 and 9,648.38

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Solution

The fourth proportional to 23,691.66, 35,537.31 and 9,648.38 is: 14,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.66 : 35,537.31 = 9,648.38 : x
  2. Step 2: Convert to fraction form
    23,691.66/35,537.31 = 9,648.38/x
  3. Step 3: Cross multiply
    23,691.66x = 35,537.31 × 9,648.38
  4. Step 4: Simplify right side
    23,691.66x = 342,877,422.82
  5. Step 5: Solve for x
    x = 342,877,422.82/23,691.66
  6. Step 6: Final answer
    x = 14,472.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.