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Finding the Fourth Proportional to 14,078.92, 19,429.38 and 8,413.48

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Solution

The fourth proportional to 14,078.92, 19,429.38 and 8,413.48 is: 11,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.92 : 19,429.38 = 8,413.48 : x
  2. Step 2: Convert to fraction form
    14,078.92/19,429.38 = 8,413.48/x
  3. Step 3: Cross multiply
    14,078.92x = 19,429.38 × 8,413.48
  4. Step 4: Simplify right side
    14,078.92x = 163,468,700.04
  5. Step 5: Solve for x
    x = 163,468,700.04/14,078.92
  6. Step 6: Final answer
    x = 11,610.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.