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Finding the Fourth Proportional to 27,746.84, 38,257.92 and 22,425.20

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Solution

The fourth proportional to 27,746.84, 38,257.92 and 22,425.20 is: 30,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.84 : 38,257.92 = 22,425.20 : x
  2. Step 2: Convert to fraction form
    27,746.84/38,257.92 = 22,425.20/x
  3. Step 3: Cross multiply
    27,746.84x = 38,257.92 × 22,425.20
  4. Step 4: Simplify right side
    27,746.84x = 857,941,507.58
  5. Step 5: Solve for x
    x = 857,941,507.58/27,746.84
  6. Step 6: Final answer
    x = 30,920.33

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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.