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Finding the Fourth Proportional to 15,812.80, 23,722.82 and 5,424.52

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Solution

The fourth proportional to 15,812.80, 23,722.82 and 5,424.52 is: 8,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.80 : 23,722.82 = 5,424.52 : x
  2. Step 2: Convert to fraction form
    15,812.80/23,722.82 = 5,424.52/x
  3. Step 3: Cross multiply
    15,812.80x = 23,722.82 × 5,424.52
  4. Step 4: Simplify right side
    15,812.80x = 128,684,911.55
  5. Step 5: Solve for x
    x = 128,684,911.55/15,812.80
  6. Step 6: Final answer
    x = 8,138.02

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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.