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Finding the Fourth Proportional to 21,669.93, 32,504.41 and 9,983.15

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Solution

The fourth proportional to 21,669.93, 32,504.41 and 9,983.15 is: 14,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,669.93 : 32,504.41 = 9,983.15 : x
  2. Step 2: Convert to fraction form
    21,669.93/32,504.41 = 9,983.15/x
  3. Step 3: Cross multiply
    21,669.93x = 32,504.41 × 9,983.15
  4. Step 4: Simplify right side
    21,669.93x = 324,496,400.62
  5. Step 5: Solve for x
    x = 324,496,400.62/21,669.93
  6. Step 6: Final answer
    x = 14,974.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.