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Finding the Fourth Proportional to 20,005.40, 29,964.90 and 17,413.40

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Solution

The fourth proportional to 20,005.40, 29,964.90 and 17,413.40 is: 26,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.40 : 29,964.90 = 17,413.40 : x
  2. Step 2: Convert to fraction form
    20,005.40/29,964.90 = 17,413.40/x
  3. Step 3: Cross multiply
    20,005.40x = 29,964.90 × 17,413.40
  4. Step 4: Simplify right side
    20,005.40x = 521,790,789.66
  5. Step 5: Solve for x
    x = 521,790,789.66/20,005.40
  6. Step 6: Final answer
    x = 26,082.50

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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.