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Finding the Fourth Proportional to 16,367.37, 24,551.16 and 6,999.50

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Solution

The fourth proportional to 16,367.37, 24,551.16 and 6,999.50 is: 10,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.37 : 24,551.16 = 6,999.50 : x
  2. Step 2: Convert to fraction form
    16,367.37/24,551.16 = 6,999.50/x
  3. Step 3: Cross multiply
    16,367.37x = 24,551.16 × 6,999.50
  4. Step 4: Simplify right side
    16,367.37x = 171,845,844.42
  5. Step 5: Solve for x
    x = 171,845,844.42/16,367.37
  6. Step 6: Final answer
    x = 10,499.29

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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.