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Finding the Fourth Proportional to 27,841.72, 38,370.06 and 19,775.74

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Solution

The fourth proportional to 27,841.72, 38,370.06 and 19,775.74 is: 27,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.72 : 38,370.06 = 19,775.74 : x
  2. Step 2: Convert to fraction form
    27,841.72/38,370.06 = 19,775.74/x
  3. Step 3: Cross multiply
    27,841.72x = 38,370.06 × 19,775.74
  4. Step 4: Simplify right side
    27,841.72x = 758,796,330.34
  5. Step 5: Solve for x
    x = 758,796,330.34/27,841.72
  6. Step 6: Final answer
    x = 27,253.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.