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Finding the Fourth Proportional to 17,770.38, 24,512.18 and 14,242.02

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Solution

The fourth proportional to 17,770.38, 24,512.18 and 14,242.02 is: 19,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.38 : 24,512.18 = 14,242.02 : x
  2. Step 2: Convert to fraction form
    17,770.38/24,512.18 = 14,242.02/x
  3. Step 3: Cross multiply
    17,770.38x = 24,512.18 × 14,242.02
  4. Step 4: Simplify right side
    17,770.38x = 349,102,957.80
  5. Step 5: Solve for x
    x = 349,102,957.80/17,770.38
  6. Step 6: Final answer
    x = 19,645.22

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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.