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Finding the Fourth Proportional to 23,350.71, 32,223.97 and 12,740.38

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Solution

The fourth proportional to 23,350.71, 32,223.97 and 12,740.38 is: 17,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,350.71 : 32,223.97 = 12,740.38 : x
  2. Step 2: Convert to fraction form
    23,350.71/32,223.97 = 12,740.38/x
  3. Step 3: Cross multiply
    23,350.71x = 32,223.97 × 12,740.38
  4. Step 4: Simplify right side
    23,350.71x = 410,545,591.06
  5. Step 5: Solve for x
    x = 410,545,591.06/23,350.71
  6. Step 6: Final answer
    x = 17,581.72

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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.