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Finding the Fourth Proportional to 16,967.68, 23,414.52 and 9,413.38

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Solution

The fourth proportional to 16,967.68, 23,414.52 and 9,413.38 is: 12,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.68 : 23,414.52 = 9,413.38 : x
  2. Step 2: Convert to fraction form
    16,967.68/23,414.52 = 9,413.38/x
  3. Step 3: Cross multiply
    16,967.68x = 23,414.52 × 9,413.38
  4. Step 4: Simplify right side
    16,967.68x = 220,409,774.28
  5. Step 5: Solve for x
    x = 220,409,774.28/16,967.68
  6. Step 6: Final answer
    x = 12,989.98

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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.