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Finding the Fourth Proportional to 23,691.40, 35,536.93 and 9,648.13

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Solution

The fourth proportional to 23,691.40, 35,536.93 and 9,648.13 is: 14,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.40 : 35,536.93 = 9,648.13 : x
  2. Step 2: Convert to fraction form
    23,691.40/35,536.93 = 9,648.13/x
  3. Step 3: Cross multiply
    23,691.40x = 35,536.93 × 9,648.13
  4. Step 4: Simplify right side
    23,691.40x = 342,864,920.44
  5. Step 5: Solve for x
    x = 342,864,920.44/23,691.40
  6. Step 6: Final answer
    x = 14,472.13

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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.