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Finding the Fourth Proportional to 25,701.68, 35,472.12 and 16,271.12

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Solution

The fourth proportional to 25,701.68, 35,472.12 and 16,271.12 is: 22,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.68 : 35,472.12 = 16,271.12 : x
  2. Step 2: Convert to fraction form
    25,701.68/35,472.12 = 16,271.12/x
  3. Step 3: Cross multiply
    25,701.68x = 35,472.12 × 16,271.12
  4. Step 4: Simplify right side
    25,701.68x = 577,171,121.17
  5. Step 5: Solve for x
    x = 577,171,121.17/25,701.68
  6. Step 6: Final answer
    x = 22,456.55

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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.