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Finding the Fourth Proportional to 16,427.50, 24,645.15 and 5,334.22

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Solution

The fourth proportional to 16,427.50, 24,645.15 and 5,334.22 is: 8,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.50 : 24,645.15 = 5,334.22 : x
  2. Step 2: Convert to fraction form
    16,427.50/24,645.15 = 5,334.22/x
  3. Step 3: Cross multiply
    16,427.50x = 24,645.15 × 5,334.22
  4. Step 4: Simplify right side
    16,427.50x = 131,462,652.03
  5. Step 5: Solve for x
    x = 131,462,652.03/16,427.50
  6. Step 6: Final answer
    x = 8,002.60

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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.