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Finding the Fourth Proportional to 27,920.52, 41,886.96 and 9,206.34

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Solution

The fourth proportional to 27,920.52, 41,886.96 and 9,206.34 is: 13,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.52 : 41,886.96 = 9,206.34 : x
  2. Step 2: Convert to fraction form
    27,920.52/41,886.96 = 9,206.34/x
  3. Step 3: Cross multiply
    27,920.52x = 41,886.96 × 9,206.34
  4. Step 4: Simplify right side
    27,920.52x = 385,625,595.33
  5. Step 5: Solve for x
    x = 385,625,595.33/27,920.52
  6. Step 6: Final answer
    x = 13,811.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.