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Finding the Fourth Proportional to 25,512.24, 38,251.74 and 8,871

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Solution

The fourth proportional to 25,512.24, 38,251.74 and 8,871 is: 13,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,512.24 : 38,251.74 = 8,871 : x
  2. Step 2: Convert to fraction form
    25,512.24/38,251.74 = 8,871/x
  3. Step 3: Cross multiply
    25,512.24x = 38,251.74 × 8,871
  4. Step 4: Simplify right side
    25,512.24x = 339,331,185.54
  5. Step 5: Solve for x
    x = 339,331,185.54/25,512.24
  6. Step 6: Final answer
    x = 13,300.72

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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.