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Finding the Fourth Proportional to 16,966.62, 23,432.24 and 13,234.14

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Solution

The fourth proportional to 16,966.62, 23,432.24 and 13,234.14 is: 18,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.62 : 23,432.24 = 13,234.14 : x
  2. Step 2: Convert to fraction form
    16,966.62/23,432.24 = 13,234.14/x
  3. Step 3: Cross multiply
    16,966.62x = 23,432.24 × 13,234.14
  4. Step 4: Simplify right side
    16,966.62x = 310,105,478.50
  5. Step 5: Solve for x
    x = 310,105,478.50/16,966.62
  6. Step 6: Final answer
    x = 18,277.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.