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Finding the Fourth Proportional to 16,145.82, 24,216.93 and 5,614.02

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Solution

The fourth proportional to 16,145.82, 24,216.93 and 5,614.02 is: 8,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.82 : 24,216.93 = 5,614.02 : x
  2. Step 2: Convert to fraction form
    16,145.82/24,216.93 = 5,614.02/x
  3. Step 3: Cross multiply
    16,145.82x = 24,216.93 × 5,614.02
  4. Step 4: Simplify right side
    16,145.82x = 135,954,329.36
  5. Step 5: Solve for x
    x = 135,954,329.36/16,145.82
  6. Step 6: Final answer
    x = 8,420.40

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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.