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Finding the Fourth Proportional to 16,216.82, 24,324.57 and 5,124.14

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Solution

The fourth proportional to 16,216.82, 24,324.57 and 5,124.14 is: 7,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.82 : 24,324.57 = 5,124.14 : x
  2. Step 2: Convert to fraction form
    16,216.82/24,324.57 = 5,124.14/x
  3. Step 3: Cross multiply
    16,216.82x = 24,324.57 × 5,124.14
  4. Step 4: Simplify right side
    16,216.82x = 124,642,380.50
  5. Step 5: Solve for x
    x = 124,642,380.50/16,216.82
  6. Step 6: Final answer
    x = 7,686.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.