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Finding the Fourth Proportional to 16,294.77, 24,435.27 and 6,934.41

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Solution

The fourth proportional to 16,294.77, 24,435.27 and 6,934.41 is: 10,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.77 : 24,435.27 = 6,934.41 : x
  2. Step 2: Convert to fraction form
    16,294.77/24,435.27 = 6,934.41/x
  3. Step 3: Cross multiply
    16,294.77x = 24,435.27 × 6,934.41
  4. Step 4: Simplify right side
    16,294.77x = 169,444,180.64
  5. Step 5: Solve for x
    x = 169,444,180.64/16,294.77
  6. Step 6: Final answer
    x = 10,398.69

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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.