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Finding the Fourth Proportional to 25,092.62, 37,641.52 and 8,454.50

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Solution

The fourth proportional to 25,092.62, 37,641.52 and 8,454.50 is: 12,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.62 : 37,641.52 = 8,454.50 : x
  2. Step 2: Convert to fraction form
    25,092.62/37,641.52 = 8,454.50/x
  3. Step 3: Cross multiply
    25,092.62x = 37,641.52 × 8,454.50
  4. Step 4: Simplify right side
    25,092.62x = 318,240,230.84
  5. Step 5: Solve for x
    x = 318,240,230.84/25,092.62
  6. Step 6: Final answer
    x = 12,682.62

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Why These Related Problems?

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