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Finding the Fourth Proportional to 21,532.52, 32,298.74 and 5,737.56

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Solution

The fourth proportional to 21,532.52, 32,298.74 and 5,737.56 is: 8,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.52 : 32,298.74 = 5,737.56 : x
  2. Step 2: Convert to fraction form
    21,532.52/32,298.74 = 5,737.56/x
  3. Step 3: Cross multiply
    21,532.52x = 32,298.74 × 5,737.56
  4. Step 4: Simplify right side
    21,532.52x = 185,315,958.67
  5. Step 5: Solve for x
    x = 185,315,958.67/21,532.52
  6. Step 6: Final answer
    x = 8,606.33

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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.