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Finding the Fourth Proportional to 16,324.70, 24,484.16 and 7,438.03

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Solution

The fourth proportional to 16,324.70, 24,484.16 and 7,438.03 is: 11,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.70 : 24,484.16 = 7,438.03 : x
  2. Step 2: Convert to fraction form
    16,324.70/24,484.16 = 7,438.03/x
  3. Step 3: Cross multiply
    16,324.70x = 24,484.16 × 7,438.03
  4. Step 4: Simplify right side
    16,324.70x = 182,113,969.87
  5. Step 5: Solve for x
    x = 182,113,969.87/16,324.70
  6. Step 6: Final answer
    x = 11,155.73

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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.