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Finding the Fourth Proportional to 16,591.68, 22,896 and 9,518.22

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Solution

The fourth proportional to 16,591.68, 22,896 and 9,518.22 is: 13,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.68 : 22,896 = 9,518.22 : x
  2. Step 2: Convert to fraction form
    16,591.68/22,896 = 9,518.22/x
  3. Step 3: Cross multiply
    16,591.68x = 22,896 × 9,518.22
  4. Step 4: Simplify right side
    16,591.68x = 217,929,165.12
  5. Step 5: Solve for x
    x = 217,929,165.12/16,591.68
  6. Step 6: Final answer
    x = 13,134.85

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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.