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Finding the Fourth Proportional to 15,200.18, 20,977.32 and 8,487.14

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Solution

The fourth proportional to 15,200.18, 20,977.32 and 8,487.14 is: 11,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.18 : 20,977.32 = 8,487.14 : x
  2. Step 2: Convert to fraction form
    15,200.18/20,977.32 = 8,487.14/x
  3. Step 3: Cross multiply
    15,200.18x = 20,977.32 × 8,487.14
  4. Step 4: Simplify right side
    15,200.18x = 178,037,451.66
  5. Step 5: Solve for x
    x = 178,037,451.66/15,200.18
  6. Step 6: Final answer
    x = 11,712.85

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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.