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Finding the Fourth Proportional to 16,164.19, 24,221.60 and 6,799.08

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Solution

The fourth proportional to 16,164.19, 24,221.60 and 6,799.08 is: 10,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.19 : 24,221.60 = 6,799.08 : x
  2. Step 2: Convert to fraction form
    16,164.19/24,221.60 = 6,799.08/x
  3. Step 3: Cross multiply
    16,164.19x = 24,221.60 × 6,799.08
  4. Step 4: Simplify right side
    16,164.19x = 164,684,596.13
  5. Step 5: Solve for x
    x = 164,684,596.13/16,164.19
  6. Step 6: Final answer
    x = 10,188.24

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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.