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Finding the Fourth Proportional to 21,832.40, 32,721.22 and 9,337.76

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Solution

The fourth proportional to 21,832.40, 32,721.22 and 9,337.76 is: 13,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.40 : 32,721.22 = 9,337.76 : x
  2. Step 2: Convert to fraction form
    21,832.40/32,721.22 = 9,337.76/x
  3. Step 3: Cross multiply
    21,832.40x = 32,721.22 × 9,337.76
  4. Step 4: Simplify right side
    21,832.40x = 305,542,870.04
  5. Step 5: Solve for x
    x = 305,542,870.04/21,832.40
  6. Step 6: Final answer
    x = 13,994.93

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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.