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Finding the Fourth Proportional to 21,596.94, 32,381.82 and 9,110.52

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Solution

The fourth proportional to 21,596.94, 32,381.82 and 9,110.52 is: 13,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.94 : 32,381.82 = 9,110.52 : x
  2. Step 2: Convert to fraction form
    21,596.94/32,381.82 = 9,110.52/x
  3. Step 3: Cross multiply
    21,596.94x = 32,381.82 × 9,110.52
  4. Step 4: Simplify right side
    21,596.94x = 295,015,218.75
  5. Step 5: Solve for x
    x = 295,015,218.75/21,596.94
  6. Step 6: Final answer
    x = 13,660.05

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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.