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Finding the Fourth Proportional to 27,618.74, 41,428.16 and 7,897.30

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Solution

The fourth proportional to 27,618.74, 41,428.16 and 7,897.30 is: 11,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,618.74 : 41,428.16 = 7,897.30 : x
  2. Step 2: Convert to fraction form
    27,618.74/41,428.16 = 7,897.30/x
  3. Step 3: Cross multiply
    27,618.74x = 41,428.16 × 7,897.30
  4. Step 4: Simplify right side
    27,618.74x = 327,170,494.53
  5. Step 5: Solve for x
    x = 327,170,494.53/27,618.74
  6. Step 6: Final answer
    x = 11,845.96

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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.