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Finding the Fourth Proportional to 16,470.23, 22,728.71 and 9,396.77

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Solution

The fourth proportional to 16,470.23, 22,728.71 and 9,396.77 is: 12,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.23 : 22,728.71 = 9,396.77 : x
  2. Step 2: Convert to fraction form
    16,470.23/22,728.71 = 9,396.77/x
  3. Step 3: Cross multiply
    16,470.23x = 22,728.71 × 9,396.77
  4. Step 4: Simplify right side
    16,470.23x = 213,576,413.28
  5. Step 5: Solve for x
    x = 213,576,413.28/16,470.23
  6. Step 6: Final answer
    x = 12,967.42

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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.