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Finding the Fourth Proportional to 25,853.36, 38,780.07 and 8,084.12

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Solution

The fourth proportional to 25,853.36, 38,780.07 and 8,084.12 is: 12,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.36 : 38,780.07 = 8,084.12 : x
  2. Step 2: Convert to fraction form
    25,853.36/38,780.07 = 8,084.12/x
  3. Step 3: Cross multiply
    25,853.36x = 38,780.07 × 8,084.12
  4. Step 4: Simplify right side
    25,853.36x = 313,502,545.59
  5. Step 5: Solve for x
    x = 313,502,545.59/25,853.36
  6. Step 6: Final answer
    x = 12,126.18

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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.