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Finding the Fourth Proportional to 25,584.54, 38,387.94 and 8,956.50

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Solution

The fourth proportional to 25,584.54, 38,387.94 and 8,956.50 is: 13,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.54 : 38,387.94 = 8,956.50 : x
  2. Step 2: Convert to fraction form
    25,584.54/38,387.94 = 8,956.50/x
  3. Step 3: Cross multiply
    25,584.54x = 38,387.94 × 8,956.50
  4. Step 4: Simplify right side
    25,584.54x = 343,821,584.61
  5. Step 5: Solve for x
    x = 343,821,584.61/25,584.54
  6. Step 6: Final answer
    x = 13,438.65

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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.