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Finding the Fourth Proportional to 25,990.71, 38,992.22 and 8,460.54

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Solution

The fourth proportional to 25,990.71, 38,992.22 and 8,460.54 is: 12,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,990.71 : 38,992.22 = 8,460.54 : x
  2. Step 2: Convert to fraction form
    25,990.71/38,992.22 = 8,460.54/x
  3. Step 3: Cross multiply
    25,990.71x = 38,992.22 × 8,460.54
  4. Step 4: Simplify right side
    25,990.71x = 329,895,237.00
  5. Step 5: Solve for x
    x = 329,895,237.00/25,990.71
  6. Step 6: Final answer
    x = 12,692.81

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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.