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Finding the Fourth Proportional to 16,430.20, 24,648.90 and 8,114.20

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Solution

The fourth proportional to 16,430.20, 24,648.90 and 8,114.20 is: 12,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.20 : 24,648.90 = 8,114.20 : x
  2. Step 2: Convert to fraction form
    16,430.20/24,648.90 = 8,114.20/x
  3. Step 3: Cross multiply
    16,430.20x = 24,648.90 × 8,114.20
  4. Step 4: Simplify right side
    16,430.20x = 200,006,104.38
  5. Step 5: Solve for x
    x = 200,006,104.38/16,430.20
  6. Step 6: Final answer
    x = 12,173.08

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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.