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Finding the Fourth Proportional to 16,967.34, 23,413.50 and 9,894.42

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Solution

The fourth proportional to 16,967.34, 23,413.50 and 9,894.42 is: 13,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.34 : 23,413.50 = 9,894.42 : x
  2. Step 2: Convert to fraction form
    16,967.34/23,413.50 = 9,894.42/x
  3. Step 3: Cross multiply
    16,967.34x = 23,413.50 × 9,894.42
  4. Step 4: Simplify right side
    16,967.34x = 231,663,002.67
  5. Step 5: Solve for x
    x = 231,663,002.67/16,967.34
  6. Step 6: Final answer
    x = 13,653.47

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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.