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Finding the Fourth Proportional to 16,309.31, 24,465.11 and 5,216.87

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Solution

The fourth proportional to 16,309.31, 24,465.11 and 5,216.87 is: 7,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.31 : 24,465.11 = 5,216.87 : x
  2. Step 2: Convert to fraction form
    16,309.31/24,465.11 = 5,216.87/x
  3. Step 3: Cross multiply
    16,309.31x = 24,465.11 × 5,216.87
  4. Step 4: Simplify right side
    16,309.31x = 127,631,150.00
  5. Step 5: Solve for x
    x = 127,631,150.00/16,309.31
  6. Step 6: Final answer
    x = 7,825.66

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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.