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Finding the Fourth Proportional to 16,934, 23,368.92 and 10,310

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Solution

The fourth proportional to 16,934, 23,368.92 and 10,310 is: 14,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,934 : 23,368.92 = 10,310 : x
  2. Step 2: Convert to fraction form
    16,934/23,368.92 = 10,310/x
  3. Step 3: Cross multiply
    16,934x = 23,368.92 × 10,310
  4. Step 4: Simplify right side
    16,934x = 240,933,565.20
  5. Step 5: Solve for x
    x = 240,933,565.20/16,934
  6. Step 6: Final answer
    x = 14,227.80

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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.