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Finding the Fourth Proportional to 16,332, 24,423.24 and 12,174.84

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Solution

The fourth proportional to 16,332, 24,423.24 and 12,174.84 is: 18,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332 : 24,423.24 = 12,174.84 : x
  2. Step 2: Convert to fraction form
    16,332/24,423.24 = 12,174.84/x
  3. Step 3: Cross multiply
    16,332x = 24,423.24 × 12,174.84
  4. Step 4: Simplify right side
    16,332x = 297,349,039.28
  5. Step 5: Solve for x
    x = 297,349,039.28/16,332
  6. Step 6: Final answer
    x = 18,206.53

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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.