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Finding the Fourth Proportional to 25,706.08, 35,481 and 16,279.84

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Solution

The fourth proportional to 25,706.08, 35,481 and 16,279.84 is: 22,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.08 : 35,481 = 16,279.84 : x
  2. Step 2: Convert to fraction form
    25,706.08/35,481 = 16,279.84/x
  3. Step 3: Cross multiply
    25,706.08x = 35,481 × 16,279.84
  4. Step 4: Simplify right side
    25,706.08x = 577,625,003.04
  5. Step 5: Solve for x
    x = 577,625,003.04/25,706.08
  6. Step 6: Final answer
    x = 22,470.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.