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Finding the Fourth Proportional to 19,413.29, 29,112.76 and 6,929.97

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Solution

The fourth proportional to 19,413.29, 29,112.76 and 6,929.97 is: 10,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.29 : 29,112.76 = 6,929.97 : x
  2. Step 2: Convert to fraction form
    19,413.29/29,112.76 = 6,929.97/x
  3. Step 3: Cross multiply
    19,413.29x = 29,112.76 × 6,929.97
  4. Step 4: Simplify right side
    19,413.29x = 201,750,553.42
  5. Step 5: Solve for x
    x = 201,750,553.42/19,413.29
  6. Step 6: Final answer
    x = 10,392.39

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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.