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Finding the Fourth Proportional to 27,224.64, 40,817.76 and 10,570.80

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Solution

The fourth proportional to 27,224.64, 40,817.76 and 10,570.80 is: 15,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.64 : 40,817.76 = 10,570.80 : x
  2. Step 2: Convert to fraction form
    27,224.64/40,817.76 = 10,570.80/x
  3. Step 3: Cross multiply
    27,224.64x = 40,817.76 × 10,570.80
  4. Step 4: Simplify right side
    27,224.64x = 431,476,377.41
  5. Step 5: Solve for x
    x = 431,476,377.41/27,224.64
  6. Step 6: Final answer
    x = 15,848.75

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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.