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Finding the Fourth Proportional to 14,469.80, 21,712.80 and 6,148.40

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Solution

The fourth proportional to 14,469.80, 21,712.80 and 6,148.40 is: 9,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.80 : 21,712.80 = 6,148.40 : x
  2. Step 2: Convert to fraction form
    14,469.80/21,712.80 = 6,148.40/x
  3. Step 3: Cross multiply
    14,469.80x = 21,712.80 × 6,148.40
  4. Step 4: Simplify right side
    14,469.80x = 133,498,979.52
  5. Step 5: Solve for x
    x = 133,498,979.52/14,469.80
  6. Step 6: Final answer
    x = 9,226.04

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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.