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Finding the Fourth Proportional to 25,154.87, 37,735.64 and 8,282.30

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Solution

The fourth proportional to 25,154.87, 37,735.64 and 8,282.30 is: 12,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.87 : 37,735.64 = 8,282.30 : x
  2. Step 2: Convert to fraction form
    25,154.87/37,735.64 = 8,282.30/x
  3. Step 3: Cross multiply
    25,154.87x = 37,735.64 × 8,282.30
  4. Step 4: Simplify right side
    25,154.87x = 312,537,891.17
  5. Step 5: Solve for x
    x = 312,537,891.17/25,154.87
  6. Step 6: Final answer
    x = 12,424.55

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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.