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Finding the Fourth Proportional to 16,185.96, 22,338 and 9,113.76

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Solution

The fourth proportional to 16,185.96, 22,338 and 9,113.76 is: 12,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.96 : 22,338 = 9,113.76 : x
  2. Step 2: Convert to fraction form
    16,185.96/22,338 = 9,113.76/x
  3. Step 3: Cross multiply
    16,185.96x = 22,338 × 9,113.76
  4. Step 4: Simplify right side
    16,185.96x = 203,583,170.88
  5. Step 5: Solve for x
    x = 203,583,170.88/16,185.96
  6. Step 6: Final answer
    x = 12,577.76

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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.