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Finding the Fourth Proportional to 25,734.24, 38,607.12 and 8,205.12

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Solution

The fourth proportional to 25,734.24, 38,607.12 and 8,205.12 is: 12,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734.24 : 38,607.12 = 8,205.12 : x
  2. Step 2: Convert to fraction form
    25,734.24/38,607.12 = 8,205.12/x
  3. Step 3: Cross multiply
    25,734.24x = 38,607.12 × 8,205.12
  4. Step 4: Simplify right side
    25,734.24x = 316,776,052.45
  5. Step 5: Solve for x
    x = 316,776,052.45/25,734.24
  6. Step 6: Final answer
    x = 12,309.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.