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Finding the Fourth Proportional to 27,901.67, 41,851.59 and 6,841.76

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Solution

The fourth proportional to 27,901.67, 41,851.59 and 6,841.76 is: 10,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.67 : 41,851.59 = 6,841.76 : x
  2. Step 2: Convert to fraction form
    27,901.67/41,851.59 = 6,841.76/x
  3. Step 3: Cross multiply
    27,901.67x = 41,851.59 × 6,841.76
  4. Step 4: Simplify right side
    27,901.67x = 286,338,325.14
  5. Step 5: Solve for x
    x = 286,338,325.14/27,901.67
  6. Step 6: Final answer
    x = 10,262.41

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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.