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Finding the Fourth Proportional to 27,758.40, 41,641.20 and 13,725.60

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Solution

The fourth proportional to 27,758.40, 41,641.20 and 13,725.60 is: 20,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.40 : 41,641.20 = 13,725.60 : x
  2. Step 2: Convert to fraction form
    27,758.40/41,641.20 = 13,725.60/x
  3. Step 3: Cross multiply
    27,758.40x = 41,641.20 × 13,725.60
  4. Step 4: Simplify right side
    27,758.40x = 571,550,454.72
  5. Step 5: Solve for x
    x = 571,550,454.72/27,758.40
  6. Step 6: Final answer
    x = 20,590.18

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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.