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Finding the Fourth Proportional to 27,817.46, 41,721.20 and 7,822.15

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Solution

The fourth proportional to 27,817.46, 41,721.20 and 7,822.15 is: 11,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.46 : 41,721.20 = 7,822.15 : x
  2. Step 2: Convert to fraction form
    27,817.46/41,721.20 = 7,822.15/x
  3. Step 3: Cross multiply
    27,817.46x = 41,721.20 × 7,822.15
  4. Step 4: Simplify right side
    27,817.46x = 326,349,484.58
  5. Step 5: Solve for x
    x = 326,349,484.58/27,817.46
  6. Step 6: Final answer
    x = 11,731.82

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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.