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Finding the Fourth Proportional to 14,796.50, 22,187.10 and 5,434.12

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Solution

The fourth proportional to 14,796.50, 22,187.10 and 5,434.12 is: 8,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.50 : 22,187.10 = 5,434.12 : x
  2. Step 2: Convert to fraction form
    14,796.50/22,187.10 = 5,434.12/x
  3. Step 3: Cross multiply
    14,796.50x = 22,187.10 × 5,434.12
  4. Step 4: Simplify right side
    14,796.50x = 120,567,363.85
  5. Step 5: Solve for x
    x = 120,567,363.85/14,796.50
  6. Step 6: Final answer
    x = 8,148.37

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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.