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Finding the Fourth Proportional to 27,722.56, 41,590.42 and 9,002.66

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Solution

The fourth proportional to 27,722.56, 41,590.42 and 9,002.66 is: 13,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.56 : 41,590.42 = 9,002.66 : x
  2. Step 2: Convert to fraction form
    27,722.56/41,590.42 = 9,002.66/x
  3. Step 3: Cross multiply
    27,722.56x = 41,590.42 × 9,002.66
  4. Step 4: Simplify right side
    27,722.56x = 374,424,410.52
  5. Step 5: Solve for x
    x = 374,424,410.52/27,722.56
  6. Step 6: Final answer
    x = 13,506.13

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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.