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Finding the Fourth Proportional to 18,140.96, 25,034.31 and 10,182.98

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Solution

The fourth proportional to 18,140.96, 25,034.31 and 10,182.98 is: 14,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.96 : 25,034.31 = 10,182.98 : x
  2. Step 2: Convert to fraction form
    18,140.96/25,034.31 = 10,182.98/x
  3. Step 3: Cross multiply
    18,140.96x = 25,034.31 × 10,182.98
  4. Step 4: Simplify right side
    18,140.96x = 254,923,752.87
  5. Step 5: Solve for x
    x = 254,923,752.87/18,140.96
  6. Step 6: Final answer
    x = 14,052.39

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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.