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Finding the Fourth Proportional to 16,224, 24,337.20 and 6,990

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Solution

The fourth proportional to 16,224, 24,337.20 and 6,990 is: 10,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224 : 24,337.20 = 6,990 : x
  2. Step 2: Convert to fraction form
    16,224/24,337.20 = 6,990/x
  3. Step 3: Cross multiply
    16,224x = 24,337.20 × 6,990
  4. Step 4: Simplify right side
    16,224x = 170,117,028
  5. Step 5: Solve for x
    x = 170,117,028/16,224
  6. Step 6: Final answer
    x = 10,485.52

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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.