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Finding the Fourth Proportional to 27,184.80, 40,775.22 and 7,461.66

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Solution

The fourth proportional to 27,184.80, 40,775.22 and 7,461.66 is: 11,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.80 : 40,775.22 = 7,461.66 : x
  2. Step 2: Convert to fraction form
    27,184.80/40,775.22 = 7,461.66/x
  3. Step 3: Cross multiply
    27,184.80x = 40,775.22 × 7,461.66
  4. Step 4: Simplify right side
    27,184.80x = 304,250,828.07
  5. Step 5: Solve for x
    x = 304,250,828.07/27,184.80
  6. Step 6: Final answer
    x = 11,191.95

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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.