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Finding the Fourth Proportional to 24,314.57, 33,556.76 and 14,107.84

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Solution

The fourth proportional to 24,314.57, 33,556.76 and 14,107.84 is: 19,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.57 : 33,556.76 = 14,107.84 : x
  2. Step 2: Convert to fraction form
    24,314.57/33,556.76 = 14,107.84/x
  3. Step 3: Cross multiply
    24,314.57x = 33,556.76 × 14,107.84
  4. Step 4: Simplify right side
    24,314.57x = 473,413,352.38
  5. Step 5: Solve for x
    x = 473,413,352.38/24,314.57
  6. Step 6: Final answer
    x = 19,470.36

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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.