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Finding the Fourth Proportional to 23,446.81, 32,356.33 and 12,691.45

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Solution

The fourth proportional to 23,446.81, 32,356.33 and 12,691.45 is: 17,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.81 : 32,356.33 = 12,691.45 : x
  2. Step 2: Convert to fraction form
    23,446.81/32,356.33 = 12,691.45/x
  3. Step 3: Cross multiply
    23,446.81x = 32,356.33 × 12,691.45
  4. Step 4: Simplify right side
    23,446.81x = 410,648,744.38
  5. Step 5: Solve for x
    x = 410,648,744.38/23,446.81
  6. Step 6: Final answer
    x = 17,514.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.