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Finding the Fourth Proportional to 21,733.64, 32,599.38 and 11,892.14

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Solution

The fourth proportional to 21,733.64, 32,599.38 and 11,892.14 is: 17,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733.64 : 32,599.38 = 11,892.14 : x
  2. Step 2: Convert to fraction form
    21,733.64/32,599.38 = 11,892.14/x
  3. Step 3: Cross multiply
    21,733.64x = 32,599.38 × 11,892.14
  4. Step 4: Simplify right side
    21,733.64x = 387,676,390.87
  5. Step 5: Solve for x
    x = 387,676,390.87/21,733.64
  6. Step 6: Final answer
    x = 17,837.62

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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.