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Finding the Fourth Proportional to 16,399.60, 22,630.77 and 9,687.38

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Solution

The fourth proportional to 16,399.60, 22,630.77 and 9,687.38 is: 13,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.60 : 22,630.77 = 9,687.38 : x
  2. Step 2: Convert to fraction form
    16,399.60/22,630.77 = 9,687.38/x
  3. Step 3: Cross multiply
    16,399.60x = 22,630.77 × 9,687.38
  4. Step 4: Simplify right side
    16,399.60x = 219,232,868.68
  5. Step 5: Solve for x
    x = 219,232,868.68/16,399.60
  6. Step 6: Final answer
    x = 13,368.18

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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.