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Finding the Fourth Proportional to 27,222.66, 40,830.27 and 7,498.38

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Solution

The fourth proportional to 27,222.66, 40,830.27 and 7,498.38 is: 11,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.66 : 40,830.27 = 7,498.38 : x
  2. Step 2: Convert to fraction form
    27,222.66/40,830.27 = 7,498.38/x
  3. Step 3: Cross multiply
    27,222.66x = 40,830.27 × 7,498.38
  4. Step 4: Simplify right side
    27,222.66x = 306,160,879.96
  5. Step 5: Solve for x
    x = 306,160,879.96/27,222.66
  6. Step 6: Final answer
    x = 11,246.55

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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.