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Finding the Fourth Proportional to 16,853.34, 25,295.50 and 8,539.14

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Solution

The fourth proportional to 16,853.34, 25,295.50 and 8,539.14 is: 12,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.34 : 25,295.50 = 8,539.14 : x
  2. Step 2: Convert to fraction form
    16,853.34/25,295.50 = 8,539.14/x
  3. Step 3: Cross multiply
    16,853.34x = 25,295.50 × 8,539.14
  4. Step 4: Simplify right side
    16,853.34x = 216,001,815.87
  5. Step 5: Solve for x
    x = 216,001,815.87/16,853.34
  6. Step 6: Final answer
    x = 12,816.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.