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Finding the Fourth Proportional to 16,966.30, 23,413.45 and 9,413.77

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Solution

The fourth proportional to 16,966.30, 23,413.45 and 9,413.77 is: 12,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.30 : 23,413.45 = 9,413.77 : x
  2. Step 2: Convert to fraction form
    16,966.30/23,413.45 = 9,413.77/x
  3. Step 3: Cross multiply
    16,966.30x = 23,413.45 × 9,413.77
  4. Step 4: Simplify right side
    16,966.30x = 220,408,786.14
  5. Step 5: Solve for x
    x = 220,408,786.14/16,966.30
  6. Step 6: Final answer
    x = 12,990.98

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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.