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Finding the Fourth Proportional to 27,913.44, 38,515.11 and 17,834.13

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Solution

The fourth proportional to 27,913.44, 38,515.11 and 17,834.13 is: 24,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.44 : 38,515.11 = 17,834.13 : x
  2. Step 2: Convert to fraction form
    27,913.44/38,515.11 = 17,834.13/x
  3. Step 3: Cross multiply
    27,913.44x = 38,515.11 × 17,834.13
  4. Step 4: Simplify right side
    27,913.44x = 686,883,478.70
  5. Step 5: Solve for x
    x = 686,883,478.70/27,913.44
  6. Step 6: Final answer
    x = 24,607.63

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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.