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Finding the Fourth Proportional to 25,814.14, 38,718.92 and 8,044.05

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Solution

The fourth proportional to 25,814.14, 38,718.92 and 8,044.05 is: 12,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.14 : 38,718.92 = 8,044.05 : x
  2. Step 2: Convert to fraction form
    25,814.14/38,718.92 = 8,044.05/x
  3. Step 3: Cross multiply
    25,814.14x = 38,718.92 × 8,044.05
  4. Step 4: Simplify right side
    25,814.14x = 311,456,888.21
  5. Step 5: Solve for x
    x = 311,456,888.21/25,814.14
  6. Step 6: Final answer
    x = 12,065.36

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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.