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Finding the Fourth Proportional to 27,742.50, 41,605.92 and 9,018.54

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Solution

The fourth proportional to 27,742.50, 41,605.92 and 9,018.54 is: 13,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.50 : 41,605.92 = 9,018.54 : x
  2. Step 2: Convert to fraction form
    27,742.50/41,605.92 = 9,018.54/x
  3. Step 3: Cross multiply
    27,742.50x = 41,605.92 × 9,018.54
  4. Step 4: Simplify right side
    27,742.50x = 375,224,653.76
  5. Step 5: Solve for x
    x = 375,224,653.76/27,742.50
  6. Step 6: Final answer
    x = 13,525.26

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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.