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Finding the Fourth Proportional to 16,853.25, 25,283.11 and 6,464.19

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Solution

The fourth proportional to 16,853.25, 25,283.11 and 6,464.19 is: 9,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.25 : 25,283.11 = 6,464.19 : x
  2. Step 2: Convert to fraction form
    16,853.25/25,283.11 = 6,464.19/x
  3. Step 3: Cross multiply
    16,853.25x = 25,283.11 × 6,464.19
  4. Step 4: Simplify right side
    16,853.25x = 163,434,826.83
  5. Step 5: Solve for x
    x = 163,434,826.83/16,853.25
  6. Step 6: Final answer
    x = 9,697.53

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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.