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Finding the Fourth Proportional to 16,223.97, 24,326.84 and 5,133.45

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Solution

The fourth proportional to 16,223.97, 24,326.84 and 5,133.45 is: 7,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.97 : 24,326.84 = 5,133.45 : x
  2. Step 2: Convert to fraction form
    16,223.97/24,326.84 = 5,133.45/x
  3. Step 3: Cross multiply
    16,223.97x = 24,326.84 × 5,133.45
  4. Step 4: Simplify right side
    16,223.97x = 124,880,469.50
  5. Step 5: Solve for x
    x = 124,880,469.50/16,223.97
  6. Step 6: Final answer
    x = 7,697.28

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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.