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Finding the Fourth Proportional to 21,559.98, 32,339.97 and 9,838.38

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Solution

The fourth proportional to 21,559.98, 32,339.97 and 9,838.38 is: 14,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,559.98 : 32,339.97 = 9,838.38 : x
  2. Step 2: Convert to fraction form
    21,559.98/32,339.97 = 9,838.38/x
  3. Step 3: Cross multiply
    21,559.98x = 32,339.97 × 9,838.38
  4. Step 4: Simplify right side
    21,559.98x = 318,172,914.05
  5. Step 5: Solve for x
    x = 318,172,914.05/21,559.98
  6. Step 6: Final answer
    x = 14,757.57

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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.