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Finding the Fourth Proportional to 18,151.60, 25,047.42 and 10,192

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Solution

The fourth proportional to 18,151.60, 25,047.42 and 10,192 is: 14,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,151.60 : 25,047.42 = 10,192 : x
  2. Step 2: Convert to fraction form
    18,151.60/25,047.42 = 10,192/x
  3. Step 3: Cross multiply
    18,151.60x = 25,047.42 × 10,192
  4. Step 4: Simplify right side
    18,151.60x = 255,283,304.64
  5. Step 5: Solve for x
    x = 255,283,304.64/18,151.60
  6. Step 6: Final answer
    x = 14,063.96

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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.