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Finding the Fourth Proportional to 14,978, 22,466.90 and 3,884.66

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Solution

The fourth proportional to 14,978, 22,466.90 and 3,884.66 is: 5,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978 : 22,466.90 = 3,884.66 : x
  2. Step 2: Convert to fraction form
    14,978/22,466.90 = 3,884.66/x
  3. Step 3: Cross multiply
    14,978x = 22,466.90 × 3,884.66
  4. Step 4: Simplify right side
    14,978x = 87,276,267.75
  5. Step 5: Solve for x
    x = 87,276,267.75/14,978
  6. Step 6: Final answer
    x = 5,826.96

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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.