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Finding the Fourth Proportional to 21,343.78, 32,012.06 and 7,832.17

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Solution

The fourth proportional to 21,343.78, 32,012.06 and 7,832.17 is: 11,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.78 : 32,012.06 = 7,832.17 : x
  2. Step 2: Convert to fraction form
    21,343.78/32,012.06 = 7,832.17/x
  3. Step 3: Cross multiply
    21,343.78x = 32,012.06 × 7,832.17
  4. Step 4: Simplify right side
    21,343.78x = 250,723,776.78
  5. Step 5: Solve for x
    x = 250,723,776.78/21,343.78
  6. Step 6: Final answer
    x = 11,746.93

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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.