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Finding the Fourth Proportional to 21,813.76, 32,722.23 and 6,232.60

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Solution

The fourth proportional to 21,813.76, 32,722.23 and 6,232.60 is: 9,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.76 : 32,722.23 = 6,232.60 : x
  2. Step 2: Convert to fraction form
    21,813.76/32,722.23 = 6,232.60/x
  3. Step 3: Cross multiply
    21,813.76x = 32,722.23 × 6,232.60
  4. Step 4: Simplify right side
    21,813.76x = 203,944,570.70
  5. Step 5: Solve for x
    x = 203,944,570.70/21,813.76
  6. Step 6: Final answer
    x = 9,349.35

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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.