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Finding the Fourth Proportional to 16,046.69, 24,062.40 and 9,385.11

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Solution

The fourth proportional to 16,046.69, 24,062.40 and 9,385.11 is: 14,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.69 : 24,062.40 = 9,385.11 : x
  2. Step 2: Convert to fraction form
    16,046.69/24,062.40 = 9,385.11/x
  3. Step 3: Cross multiply
    16,046.69x = 24,062.40 × 9,385.11
  4. Step 4: Simplify right side
    16,046.69x = 225,828,270.86
  5. Step 5: Solve for x
    x = 225,828,270.86/16,046.69
  6. Step 6: Final answer
    x = 14,073.20

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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.