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Finding the Fourth Proportional to 27,564.68, 38,043.12 and 19,932.74

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Solution

The fourth proportional to 27,564.68, 38,043.12 and 19,932.74 is: 27,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.68 : 38,043.12 = 19,932.74 : x
  2. Step 2: Convert to fraction form
    27,564.68/38,043.12 = 19,932.74/x
  3. Step 3: Cross multiply
    27,564.68x = 38,043.12 × 19,932.74
  4. Step 4: Simplify right side
    27,564.68x = 758,303,619.75
  5. Step 5: Solve for x
    x = 758,303,619.75/27,564.68
  6. Step 6: Final answer
    x = 27,509.97

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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.