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Finding the Fourth Proportional to 16,334, 24,426.24 and 12,176.84

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Solution

The fourth proportional to 16,334, 24,426.24 and 12,176.84 is: 18,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334 : 24,426.24 = 12,176.84 : x
  2. Step 2: Convert to fraction form
    16,334/24,426.24 = 12,176.84/x
  3. Step 3: Cross multiply
    16,334x = 24,426.24 × 12,176.84
  4. Step 4: Simplify right side
    16,334x = 297,434,416.28
  5. Step 5: Solve for x
    x = 297,434,416.28/16,334
  6. Step 6: Final answer
    x = 18,209.53

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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.