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Finding the Fourth Proportional to 27,826.61, 41,753.61 and 13,032.97

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Solution

The fourth proportional to 27,826.61, 41,753.61 and 13,032.97 is: 19,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.61 : 41,753.61 = 13,032.97 : x
  2. Step 2: Convert to fraction form
    27,826.61/41,753.61 = 13,032.97/x
  3. Step 3: Cross multiply
    27,826.61x = 41,753.61 × 13,032.97
  4. Step 4: Simplify right side
    27,826.61x = 544,173,337.75
  5. Step 5: Solve for x
    x = 544,173,337.75/27,826.61
  6. Step 6: Final answer
    x = 19,555.87

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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.