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Finding the Fourth Proportional to 27,881, 41,827.98 and 9,413

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Solution

The fourth proportional to 27,881, 41,827.98 and 9,413 is: 14,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881 : 41,827.98 = 9,413 : x
  2. Step 2: Convert to fraction form
    27,881/41,827.98 = 9,413/x
  3. Step 3: Cross multiply
    27,881x = 41,827.98 × 9,413
  4. Step 4: Simplify right side
    27,881x = 393,726,775.74
  5. Step 5: Solve for x
    x = 393,726,775.74/27,881
  6. Step 6: Final answer
    x = 14,121.69

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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.