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Finding the Fourth Proportional to 16,083.78, 24,117.78 and 6,721.02

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Solution

The fourth proportional to 16,083.78, 24,117.78 and 6,721.02 is: 10,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.78 : 24,117.78 = 6,721.02 : x
  2. Step 2: Convert to fraction form
    16,083.78/24,117.78 = 6,721.02/x
  3. Step 3: Cross multiply
    16,083.78x = 24,117.78 × 6,721.02
  4. Step 4: Simplify right side
    16,083.78x = 162,096,081.74
  5. Step 5: Solve for x
    x = 162,096,081.74/16,083.78
  6. Step 6: Final answer
    x = 10,078.23

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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.