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Finding the Fourth Proportional to 16,784.01, 23,162.09 and 9,230.15

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Solution

The fourth proportional to 16,784.01, 23,162.09 and 9,230.15 is: 12,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.01 : 23,162.09 = 9,230.15 : x
  2. Step 2: Convert to fraction form
    16,784.01/23,162.09 = 9,230.15/x
  3. Step 3: Cross multiply
    16,784.01x = 23,162.09 × 9,230.15
  4. Step 4: Simplify right side
    16,784.01x = 213,789,565.01
  5. Step 5: Solve for x
    x = 213,789,565.01/16,784.01
  6. Step 6: Final answer
    x = 12,737.69

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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.