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Finding the Fourth Proportional to 16,966.23, 23,413.37 and 9,413.71

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Solution

The fourth proportional to 16,966.23, 23,413.37 and 9,413.71 is: 12,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.23 : 23,413.37 = 9,413.71 : x
  2. Step 2: Convert to fraction form
    16,966.23/23,413.37 = 9,413.71/x
  3. Step 3: Cross multiply
    16,966.23x = 23,413.37 × 9,413.71
  4. Step 4: Simplify right side
    16,966.23x = 220,406,569.70
  5. Step 5: Solve for x
    x = 220,406,569.70/16,966.23
  6. Step 6: Final answer
    x = 12,990.90

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