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Finding the Fourth Proportional to 23,902.05, 32,993.01 and 14,470.61

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Solution

The fourth proportional to 23,902.05, 32,993.01 and 14,470.61 is: 19,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.05 : 32,993.01 = 14,470.61 : x
  2. Step 2: Convert to fraction form
    23,902.05/32,993.01 = 14,470.61/x
  3. Step 3: Cross multiply
    23,902.05x = 32,993.01 × 14,470.61
  4. Step 4: Simplify right side
    23,902.05x = 477,428,815.47
  5. Step 5: Solve for x
    x = 477,428,815.47/23,902.05
  6. Step 6: Final answer
    x = 19,974.39

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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.