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Finding the Fourth Proportional to 15,205.38, 22,812.90 and 5,348.07

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Solution

The fourth proportional to 15,205.38, 22,812.90 and 5,348.07 is: 8,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.38 : 22,812.90 = 5,348.07 : x
  2. Step 2: Convert to fraction form
    15,205.38/22,812.90 = 5,348.07/x
  3. Step 3: Cross multiply
    15,205.38x = 22,812.90 × 5,348.07
  4. Step 4: Simplify right side
    15,205.38x = 122,004,986.10
  5. Step 5: Solve for x
    x = 122,004,986.10/15,205.38
  6. Step 6: Final answer
    x = 8,023.80

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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.