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Finding the Fourth Proportional to 16,391.28, 24,587.28 and 6,003

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Solution

The fourth proportional to 16,391.28, 24,587.28 and 6,003 is: 9,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,391.28 : 24,587.28 = 6,003 : x
  2. Step 2: Convert to fraction form
    16,391.28/24,587.28 = 6,003/x
  3. Step 3: Cross multiply
    16,391.28x = 24,587.28 × 6,003
  4. Step 4: Simplify right side
    16,391.28x = 147,597,441.84
  5. Step 5: Solve for x
    x = 147,597,441.84/16,391.28
  6. Step 6: Final answer
    x = 9,004.63

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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.