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Finding the Fourth Proportional to 20,257.83, 27,955.74 and 11,305.23

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Solution

The fourth proportional to 20,257.83, 27,955.74 and 11,305.23 is: 15,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.83 : 27,955.74 = 11,305.23 : x
  2. Step 2: Convert to fraction form
    20,257.83/27,955.74 = 11,305.23/x
  3. Step 3: Cross multiply
    20,257.83x = 27,955.74 × 11,305.23
  4. Step 4: Simplify right side
    20,257.83x = 316,046,070.52
  5. Step 5: Solve for x
    x = 316,046,070.52/20,257.83
  6. Step 6: Final answer
    x = 15,601.18

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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.