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Finding the Fourth Proportional to 27,570.78, 38,047.12 and 15,634.22

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Solution

The fourth proportional to 27,570.78, 38,047.12 and 15,634.22 is: 21,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.78 : 38,047.12 = 15,634.22 : x
  2. Step 2: Convert to fraction form
    27,570.78/38,047.12 = 15,634.22/x
  3. Step 3: Cross multiply
    27,570.78x = 38,047.12 × 15,634.22
  4. Step 4: Simplify right side
    27,570.78x = 594,836,815.13
  5. Step 5: Solve for x
    x = 594,836,815.13/27,570.78
  6. Step 6: Final answer
    x = 21,574.90

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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.