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Finding the Fourth Proportional to 25,822.18, 38,733.69 and 8,053.31

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Solution

The fourth proportional to 25,822.18, 38,733.69 and 8,053.31 is: 12,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.18 : 38,733.69 = 8,053.31 : x
  2. Step 2: Convert to fraction form
    25,822.18/38,733.69 = 8,053.31/x
  3. Step 3: Cross multiply
    25,822.18x = 38,733.69 × 8,053.31
  4. Step 4: Simplify right side
    25,822.18x = 311,934,540.05
  5. Step 5: Solve for x
    x = 311,934,540.05/25,822.18
  6. Step 6: Final answer
    x = 12,080.10

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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.