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Finding the Fourth Proportional to 15,745.20, 23,569.20 and 15,259.20

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Solution

The fourth proportional to 15,745.20, 23,569.20 and 15,259.20 is: 22,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.20 : 23,569.20 = 15,259.20 : x
  2. Step 2: Convert to fraction form
    15,745.20/23,569.20 = 15,259.20/x
  3. Step 3: Cross multiply
    15,745.20x = 23,569.20 × 15,259.20
  4. Step 4: Simplify right side
    15,745.20x = 359,647,136.64
  5. Step 5: Solve for x
    x = 359,647,136.64/15,745.20
  6. Step 6: Final answer
    x = 22,841.70

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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.