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Finding the Fourth Proportional to 16,062.80, 24,098.40 and 6,202.40

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Solution

The fourth proportional to 16,062.80, 24,098.40 and 6,202.40 is: 9,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.80 : 24,098.40 = 6,202.40 : x
  2. Step 2: Convert to fraction form
    16,062.80/24,098.40 = 6,202.40/x
  3. Step 3: Cross multiply
    16,062.80x = 24,098.40 × 6,202.40
  4. Step 4: Simplify right side
    16,062.80x = 149,467,916.16
  5. Step 5: Solve for x
    x = 149,467,916.16/16,062.80
  6. Step 6: Final answer
    x = 9,305.22

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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.