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Finding the Fourth Proportional to 22,903.20, 34,371 and 13,537.44

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Solution

The fourth proportional to 22,903.20, 34,371 and 13,537.44 is: 20,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.20 : 34,371 = 13,537.44 : x
  2. Step 2: Convert to fraction form
    22,903.20/34,371 = 13,537.44/x
  3. Step 3: Cross multiply
    22,903.20x = 34,371 × 13,537.44
  4. Step 4: Simplify right side
    22,903.20x = 465,295,350.24
  5. Step 5: Solve for x
    x = 465,295,350.24/22,903.20
  6. Step 6: Final answer
    x = 20,315.74

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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.