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Finding the Fourth Proportional to 13,423.45, 20,129.10 and 6,024.10

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Solution

The fourth proportional to 13,423.45, 20,129.10 and 6,024.10 is: 9,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.45 : 20,129.10 = 6,024.10 : x
  2. Step 2: Convert to fraction form
    13,423.45/20,129.10 = 6,024.10/x
  3. Step 3: Cross multiply
    13,423.45x = 20,129.10 × 6,024.10
  4. Step 4: Simplify right side
    13,423.45x = 121,259,711.31
  5. Step 5: Solve for x
    x = 121,259,711.31/13,423.45
  6. Step 6: Final answer
    x = 9,033.42

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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.