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Finding the Fourth Proportional to 21,544.14, 32,332.41 and 9,865.56

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Solution

The fourth proportional to 21,544.14, 32,332.41 and 9,865.56 is: 14,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,544.14 : 32,332.41 = 9,865.56 : x
  2. Step 2: Convert to fraction form
    21,544.14/32,332.41 = 9,865.56/x
  3. Step 3: Cross multiply
    21,544.14x = 32,332.41 × 9,865.56
  4. Step 4: Simplify right side
    21,544.14x = 318,977,330.80
  5. Step 5: Solve for x
    x = 318,977,330.80/21,544.14
  6. Step 6: Final answer
    x = 14,805.76

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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.