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Finding the Fourth Proportional to 16,134.44, 24,211 and 6,773.64

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Solution

The fourth proportional to 16,134.44, 24,211 and 6,773.64 is: 10,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.44 : 24,211 = 6,773.64 : x
  2. Step 2: Convert to fraction form
    16,134.44/24,211 = 6,773.64/x
  3. Step 3: Cross multiply
    16,134.44x = 24,211 × 6,773.64
  4. Step 4: Simplify right side
    16,134.44x = 163,996,598.04
  5. Step 5: Solve for x
    x = 163,996,598.04/16,134.44
  6. Step 6: Final answer
    x = 10,164.38

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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.