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Finding the Fourth Proportional to 19,793.40, 29,681.40 and 5,939.16

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Solution

The fourth proportional to 19,793.40, 29,681.40 and 5,939.16 is: 8,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.40 : 29,681.40 = 5,939.16 : x
  2. Step 2: Convert to fraction form
    19,793.40/29,681.40 = 5,939.16/x
  3. Step 3: Cross multiply
    19,793.40x = 29,681.40 × 5,939.16
  4. Step 4: Simplify right side
    19,793.40x = 176,282,583.62
  5. Step 5: Solve for x
    x = 176,282,583.62/19,793.40
  6. Step 6: Final answer
    x = 8,906.13

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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.