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Finding the Fourth Proportional to 25,503.38, 38,261.24 and 8,861

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Solution

The fourth proportional to 25,503.38, 38,261.24 and 8,861 is: 13,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503.38 : 38,261.24 = 8,861 : x
  2. Step 2: Convert to fraction form
    25,503.38/38,261.24 = 8,861/x
  3. Step 3: Cross multiply
    25,503.38x = 38,261.24 × 8,861
  4. Step 4: Simplify right side
    25,503.38x = 339,032,847.64
  5. Step 5: Solve for x
    x = 339,032,847.64/25,503.38
  6. Step 6: Final answer
    x = 13,293.64

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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.