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Finding the Fourth Proportional to 16,823.66, 23,216.23 and 9,269.86

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Solution

The fourth proportional to 16,823.66, 23,216.23 and 9,269.86 is: 12,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.66 : 23,216.23 = 9,269.86 : x
  2. Step 2: Convert to fraction form
    16,823.66/23,216.23 = 9,269.86/x
  3. Step 3: Cross multiply
    16,823.66x = 23,216.23 × 9,269.86
  4. Step 4: Simplify right side
    16,823.66x = 215,211,201.83
  5. Step 5: Solve for x
    x = 215,211,201.83/16,823.66
  6. Step 6: Final answer
    x = 12,792.17

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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.