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Finding the Fourth Proportional to 27,826.74, 41,750.37 and 13,040.46

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Solution

The fourth proportional to 27,826.74, 41,750.37 and 13,040.46 is: 19,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.74 : 41,750.37 = 13,040.46 : x
  2. Step 2: Convert to fraction form
    27,826.74/41,750.37 = 13,040.46/x
  3. Step 3: Cross multiply
    27,826.74x = 41,750.37 × 13,040.46
  4. Step 4: Simplify right side
    27,826.74x = 544,444,029.97
  5. Step 5: Solve for x
    x = 544,444,029.97/27,826.74
  6. Step 6: Final answer
    x = 19,565.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.