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Finding the Fourth Proportional to 27,817.28, 41,726.16 and 22,256.84

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Solution

The fourth proportional to 27,817.28, 41,726.16 and 22,256.84 is: 33,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.28 : 41,726.16 = 22,256.84 : x
  2. Step 2: Convert to fraction form
    27,817.28/41,726.16 = 22,256.84/x
  3. Step 3: Cross multiply
    27,817.28x = 41,726.16 × 22,256.84
  4. Step 4: Simplify right side
    27,817.28x = 928,692,466.93
  5. Step 5: Solve for x
    x = 928,692,466.93/27,817.28
  6. Step 6: Final answer
    x = 33,385.45

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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.