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Finding the Fourth Proportional to 16,013.57, 24,020.27 and 5,483.68

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Solution

The fourth proportional to 16,013.57, 24,020.27 and 5,483.68 is: 8,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.57 : 24,020.27 = 5,483.68 : x
  2. Step 2: Convert to fraction form
    16,013.57/24,020.27 = 5,483.68/x
  3. Step 3: Cross multiply
    16,013.57x = 24,020.27 × 5,483.68
  4. Step 4: Simplify right side
    16,013.57x = 131,719,506.83
  5. Step 5: Solve for x
    x = 131,719,506.83/16,013.57
  6. Step 6: Final answer
    x = 8,225.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.