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Finding the Fourth Proportional to 16,784.69, 23,162.40 and 9,231.02

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Solution

The fourth proportional to 16,784.69, 23,162.40 and 9,231.02 is: 12,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.69 : 23,162.40 = 9,231.02 : x
  2. Step 2: Convert to fraction form
    16,784.69/23,162.40 = 9,231.02/x
  3. Step 3: Cross multiply
    16,784.69x = 23,162.40 × 9,231.02
  4. Step 4: Simplify right side
    16,784.69x = 213,812,461.84
  5. Step 5: Solve for x
    x = 213,812,461.84/16,784.69
  6. Step 6: Final answer
    x = 12,738.54

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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.