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Finding the Fourth Proportional to 16,853.87, 25,284.06 and 6,464.81

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Solution

The fourth proportional to 16,853.87, 25,284.06 and 6,464.81 is: 9,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.87 : 25,284.06 = 6,464.81 : x
  2. Step 2: Convert to fraction form
    16,853.87/25,284.06 = 6,464.81/x
  3. Step 3: Cross multiply
    16,853.87x = 25,284.06 × 6,464.81
  4. Step 4: Simplify right side
    16,853.87x = 163,456,707.14
  5. Step 5: Solve for x
    x = 163,456,707.14/16,853.87
  6. Step 6: Final answer
    x = 9,698.47

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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.