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Finding the Fourth Proportional to 27,281.16, 37,661.28 and 17,224.20

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Solution

The fourth proportional to 27,281.16, 37,661.28 and 17,224.20 is: 23,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281.16 : 37,661.28 = 17,224.20 : x
  2. Step 2: Convert to fraction form
    27,281.16/37,661.28 = 17,224.20/x
  3. Step 3: Cross multiply
    27,281.16x = 37,661.28 × 17,224.20
  4. Step 4: Simplify right side
    27,281.16x = 648,685,418.98
  5. Step 5: Solve for x
    x = 648,685,418.98/27,281.16
  6. Step 6: Final answer
    x = 23,777.78

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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.