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Finding the Fourth Proportional to 25,198.34, 34,775.87 and 13,870.08

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Solution

The fourth proportional to 25,198.34, 34,775.87 and 13,870.08 is: 19,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.34 : 34,775.87 = 13,870.08 : x
  2. Step 2: Convert to fraction form
    25,198.34/34,775.87 = 13,870.08/x
  3. Step 3: Cross multiply
    25,198.34x = 34,775.87 × 13,870.08
  4. Step 4: Simplify right side
    25,198.34x = 482,344,029.62
  5. Step 5: Solve for x
    x = 482,344,029.62/25,198.34
  6. Step 6: Final answer
    x = 19,141.90

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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.