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Finding the Fourth Proportional to 16,614.16, 24,914.64 and 8,291.20

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Solution

The fourth proportional to 16,614.16, 24,914.64 and 8,291.20 is: 12,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.16 : 24,914.64 = 8,291.20 : x
  2. Step 2: Convert to fraction form
    16,614.16/24,914.64 = 8,291.20/x
  3. Step 3: Cross multiply
    16,614.16x = 24,914.64 × 8,291.20
  4. Step 4: Simplify right side
    16,614.16x = 206,572,263.17
  5. Step 5: Solve for x
    x = 206,572,263.17/16,614.16
  6. Step 6: Final answer
    x = 12,433.51

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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.