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Finding the Fourth Proportional to 25,460.20, 38,204.22 and 9,878.44

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Solution

The fourth proportional to 25,460.20, 38,204.22 and 9,878.44 is: 14,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,460.20 : 38,204.22 = 9,878.44 : x
  2. Step 2: Convert to fraction form
    25,460.20/38,204.22 = 9,878.44/x
  3. Step 3: Cross multiply
    25,460.20x = 38,204.22 × 9,878.44
  4. Step 4: Simplify right side
    25,460.20x = 377,398,095.02
  5. Step 5: Solve for x
    x = 377,398,095.02/25,460.20
  6. Step 6: Final answer
    x = 14,823.06

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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.