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Finding the Fourth Proportional to 16,216.78, 24,325.20 and 5,123.20

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Solution

The fourth proportional to 16,216.78, 24,325.20 and 5,123.20 is: 7,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.78 : 24,325.20 = 5,123.20 : x
  2. Step 2: Convert to fraction form
    16,216.78/24,325.20 = 5,123.20/x
  3. Step 3: Cross multiply
    16,216.78x = 24,325.20 × 5,123.20
  4. Step 4: Simplify right side
    16,216.78x = 124,622,864.64
  5. Step 5: Solve for x
    x = 124,622,864.64/16,216.78
  6. Step 6: Final answer
    x = 7,684.81

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1.5x scale

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.