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Finding the Fourth Proportional to 25,773.98, 38,661.78 and 12,262.20

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Solution

The fourth proportional to 25,773.98, 38,661.78 and 12,262.20 is: 18,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.98 : 38,661.78 = 12,262.20 : x
  2. Step 2: Convert to fraction form
    25,773.98/38,661.78 = 12,262.20/x
  3. Step 3: Cross multiply
    25,773.98x = 38,661.78 × 12,262.20
  4. Step 4: Simplify right side
    25,773.98x = 474,078,478.72
  5. Step 5: Solve for x
    x = 474,078,478.72/25,773.98
  6. Step 6: Final answer
    x = 18,393.69

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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.