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Finding the Fourth Proportional to 19,948.08, 29,943.99 and 8,269.50

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Solution

The fourth proportional to 19,948.08, 29,943.99 and 8,269.50 is: 12,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948.08 : 29,943.99 = 8,269.50 : x
  2. Step 2: Convert to fraction form
    19,948.08/29,943.99 = 8,269.50/x
  3. Step 3: Cross multiply
    19,948.08x = 29,943.99 × 8,269.50
  4. Step 4: Simplify right side
    19,948.08x = 247,621,825.31
  5. Step 5: Solve for x
    x = 247,621,825.31/19,948.08
  6. Step 6: Final answer
    x = 12,413.32

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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.