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Finding the Fourth Proportional to 25,612.91, 38,418.00 and 9,825.50

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Solution

The fourth proportional to 25,612.91, 38,418.00 and 9,825.50 is: 14,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.91 : 38,418.00 = 9,825.50 : x
  2. Step 2: Convert to fraction form
    25,612.91/38,418.00 = 9,825.50/x
  3. Step 3: Cross multiply
    25,612.91x = 38,418.00 × 9,825.50
  4. Step 4: Simplify right side
    25,612.91x = 377,476,118.20
  5. Step 5: Solve for x
    x = 377,476,118.20/25,612.91
  6. Step 6: Final answer
    x = 14,737.73

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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.