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Finding the Fourth Proportional to 18,681.75, 25,780.82 and 10,298.43

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Solution

The fourth proportional to 18,681.75, 25,780.82 and 10,298.43 is: 14,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.75 : 25,780.82 = 10,298.43 : x
  2. Step 2: Convert to fraction form
    18,681.75/25,780.82 = 10,298.43/x
  3. Step 3: Cross multiply
    18,681.75x = 25,780.82 × 10,298.43
  4. Step 4: Simplify right side
    18,681.75x = 265,501,918.62
  5. Step 5: Solve for x
    x = 265,501,918.62/18,681.75
  6. Step 6: Final answer
    x = 14,211.83

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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.