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Finding the Fourth Proportional to 21,232.68, 31,849.02 and 9,532.23

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Solution

The fourth proportional to 21,232.68, 31,849.02 and 9,532.23 is: 14,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.68 : 31,849.02 = 9,532.23 : x
  2. Step 2: Convert to fraction form
    21,232.68/31,849.02 = 9,532.23/x
  3. Step 3: Cross multiply
    21,232.68x = 31,849.02 × 9,532.23
  4. Step 4: Simplify right side
    21,232.68x = 303,592,183.91
  5. Step 5: Solve for x
    x = 303,592,183.91/21,232.68
  6. Step 6: Final answer
    x = 14,298.35

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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.