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Finding the Fourth Proportional to 27,610.94, 38,057.59 and 19,534.16

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Solution

The fourth proportional to 27,610.94, 38,057.59 and 19,534.16 is: 26,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.94 : 38,057.59 = 19,534.16 : x
  2. Step 2: Convert to fraction form
    27,610.94/38,057.59 = 19,534.16/x
  3. Step 3: Cross multiply
    27,610.94x = 38,057.59 × 19,534.16
  4. Step 4: Simplify right side
    27,610.94x = 743,423,052.27
  5. Step 5: Solve for x
    x = 743,423,052.27/27,610.94
  6. Step 6: Final answer
    x = 26,924.95

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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.