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Finding the Fourth Proportional to 25,338.49, 38,013.93 and 17,856.65

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Solution

The fourth proportional to 25,338.49, 38,013.93 and 17,856.65 is: 26,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338.49 : 38,013.93 = 17,856.65 : x
  2. Step 2: Convert to fraction form
    25,338.49/38,013.93 = 17,856.65/x
  3. Step 3: Cross multiply
    25,338.49x = 38,013.93 × 17,856.65
  4. Step 4: Simplify right side
    25,338.49x = 678,801,253.06
  5. Step 5: Solve for x
    x = 678,801,253.06/25,338.49
  6. Step 6: Final answer
    x = 26,789.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.