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Finding the Fourth Proportional to 14,591, 20,135.58 and 7,967

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Solution

The fourth proportional to 14,591, 20,135.58 and 7,967 is: 10,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591 : 20,135.58 = 7,967 : x
  2. Step 2: Convert to fraction form
    14,591/20,135.58 = 7,967/x
  3. Step 3: Cross multiply
    14,591x = 20,135.58 × 7,967
  4. Step 4: Simplify right side
    14,591x = 160,420,165.86
  5. Step 5: Solve for x
    x = 160,420,165.86/14,591
  6. Step 6: Final answer
    x = 10,994.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.