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Finding the Fourth Proportional to 16,966.49, 23,413.90 and 9,413.32

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Solution

The fourth proportional to 16,966.49, 23,413.90 and 9,413.32 is: 12,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.49 : 23,413.90 = 9,413.32 : x
  2. Step 2: Convert to fraction form
    16,966.49/23,413.90 = 9,413.32/x
  3. Step 3: Cross multiply
    16,966.49x = 23,413.90 × 9,413.32
  4. Step 4: Simplify right side
    16,966.49x = 220,402,539.11
  5. Step 5: Solve for x
    x = 220,402,539.11/16,966.49
  6. Step 6: Final answer
    x = 12,990.46

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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.