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Finding the Fourth Proportional to 16,492.10, 24,751.51 and 8,171.78

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Solution

The fourth proportional to 16,492.10, 24,751.51 and 8,171.78 is: 12,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.10 : 24,751.51 = 8,171.78 : x
  2. Step 2: Convert to fraction form
    16,492.10/24,751.51 = 8,171.78/x
  3. Step 3: Cross multiply
    16,492.10x = 24,751.51 × 8,171.78
  4. Step 4: Simplify right side
    16,492.10x = 202,263,750.20
  5. Step 5: Solve for x
    x = 202,263,750.20/16,492.10
  6. Step 6: Final answer
    x = 12,264.28

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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.