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Finding the Fourth Proportional to 21,087.68, 31,633.68 and 9,399.92

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Solution

The fourth proportional to 21,087.68, 31,633.68 and 9,399.92 is: 14,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087.68 : 31,633.68 = 9,399.92 : x
  2. Step 2: Convert to fraction form
    21,087.68/31,633.68 = 9,399.92/x
  3. Step 3: Cross multiply
    21,087.68x = 31,633.68 × 9,399.92
  4. Step 4: Simplify right side
    21,087.68x = 297,354,061.31
  5. Step 5: Solve for x
    x = 297,354,061.31/21,087.68
  6. Step 6: Final answer
    x = 14,100.84

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