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Finding the Fourth Proportional to 25,558, 38,341.84 and 8,922.78

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Solution

The fourth proportional to 25,558, 38,341.84 and 8,922.78 is: 13,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558 : 38,341.84 = 8,922.78 : x
  2. Step 2: Convert to fraction form
    25,558/38,341.84 = 8,922.78/x
  3. Step 3: Cross multiply
    25,558x = 38,341.84 × 8,922.78
  4. Step 4: Simplify right side
    25,558x = 342,115,803.12
  5. Step 5: Solve for x
    x = 342,115,803.12/25,558
  6. Step 6: Final answer
    x = 13,385.86

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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.