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Finding the Fourth Proportional to 16,783.34, 23,162.78 and 9,613.83

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Solution

The fourth proportional to 16,783.34, 23,162.78 and 9,613.83 is: 13,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.34 : 23,162.78 = 9,613.83 : x
  2. Step 2: Convert to fraction form
    16,783.34/23,162.78 = 9,613.83/x
  3. Step 3: Cross multiply
    16,783.34x = 23,162.78 × 9,613.83
  4. Step 4: Simplify right side
    16,783.34x = 222,683,053.28
  5. Step 5: Solve for x
    x = 222,683,053.28/16,783.34
  6. Step 6: Final answer
    x = 13,268.10

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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.