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Finding the Fourth Proportional to 18,780.70, 25,917.42 and 10,282.90

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Solution

The fourth proportional to 18,780.70, 25,917.42 and 10,282.90 is: 14,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780.70 : 25,917.42 = 10,282.90 : x
  2. Step 2: Convert to fraction form
    18,780.70/25,917.42 = 10,282.90/x
  3. Step 3: Cross multiply
    18,780.70x = 25,917.42 × 10,282.90
  4. Step 4: Simplify right side
    18,780.70x = 266,506,238.12
  5. Step 5: Solve for x
    x = 266,506,238.12/18,780.70
  6. Step 6: Final answer
    x = 14,190.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.