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Finding the Fourth Proportional to 25,884.70, 35,708.25 and 16,456.30

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Solution

The fourth proportional to 25,884.70, 35,708.25 and 16,456.30 is: 22,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.70 : 35,708.25 = 16,456.30 : x
  2. Step 2: Convert to fraction form
    25,884.70/35,708.25 = 16,456.30/x
  3. Step 3: Cross multiply
    25,884.70x = 35,708.25 × 16,456.30
  4. Step 4: Simplify right side
    25,884.70x = 587,625,674.48
  5. Step 5: Solve for x
    x = 587,625,674.48/25,884.70
  6. Step 6: Final answer
    x = 22,701.66

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1.5x scale

Why These Related Problems?

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