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Finding the Fourth Proportional to 16,423.14, 22,663.92 and 8,971.14

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Solution

The fourth proportional to 16,423.14, 22,663.92 and 8,971.14 is: 12,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.14 : 22,663.92 = 8,971.14 : x
  2. Step 2: Convert to fraction form
    16,423.14/22,663.92 = 8,971.14/x
  3. Step 3: Cross multiply
    16,423.14x = 22,663.92 × 8,971.14
  4. Step 4: Simplify right side
    16,423.14x = 203,321,199.27
  5. Step 5: Solve for x
    x = 203,321,199.27/16,423.14
  6. Step 6: Final answer
    x = 12,380.17

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1.5x scale

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.