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Finding the Fourth Proportional to 16,419.42, 24,617.87 and 5,889.22

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Solution

The fourth proportional to 16,419.42, 24,617.87 and 5,889.22 is: 8,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.42 : 24,617.87 = 5,889.22 : x
  2. Step 2: Convert to fraction form
    16,419.42/24,617.87 = 5,889.22/x
  3. Step 3: Cross multiply
    16,419.42x = 24,617.87 × 5,889.22
  4. Step 4: Simplify right side
    16,419.42x = 144,980,005.54
  5. Step 5: Solve for x
    x = 144,980,005.54/16,419.42
  6. Step 6: Final answer
    x = 8,829.79

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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.