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Finding the Fourth Proportional to 24,500.22, 33,752.07 and 23,314.38

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Solution

The fourth proportional to 24,500.22, 33,752.07 and 23,314.38 is: 32,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.22 : 33,752.07 = 23,314.38 : x
  2. Step 2: Convert to fraction form
    24,500.22/33,752.07 = 23,314.38/x
  3. Step 3: Cross multiply
    24,500.22x = 33,752.07 × 23,314.38
  4. Step 4: Simplify right side
    24,500.22x = 786,908,585.77
  5. Step 5: Solve for x
    x = 786,908,585.77/24,500.22
  6. Step 6: Final answer
    x = 32,118.43

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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.