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Finding the Fourth Proportional to 16,947.81, 23,386.80 and 9,393.42

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Solution

The fourth proportional to 16,947.81, 23,386.80 and 9,393.42 is: 12,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947.81 : 23,386.80 = 9,393.42 : x
  2. Step 2: Convert to fraction form
    16,947.81/23,386.80 = 9,393.42/x
  3. Step 3: Cross multiply
    16,947.81x = 23,386.80 × 9,393.42
  4. Step 4: Simplify right side
    16,947.81x = 219,682,034.86
  5. Step 5: Solve for x
    x = 219,682,034.86/16,947.81
  6. Step 6: Final answer
    x = 12,962.27

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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.