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Finding the Fourth Proportional to 16,490.17, 22,756.46 and 9,682.87

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Solution

The fourth proportional to 16,490.17, 22,756.46 and 9,682.87 is: 13,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.17 : 22,756.46 = 9,682.87 : x
  2. Step 2: Convert to fraction form
    16,490.17/22,756.46 = 9,682.87/x
  3. Step 3: Cross multiply
    16,490.17x = 22,756.46 × 9,682.87
  4. Step 4: Simplify right side
    16,490.17x = 220,347,795.43
  5. Step 5: Solve for x
    x = 220,347,795.43/16,490.17
  6. Step 6: Final answer
    x = 13,362.38

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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.