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Finding the Fourth Proportional to 21,398.14, 32,094.78 and 5,812.12

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Solution

The fourth proportional to 21,398.14, 32,094.78 and 5,812.12 is: 8,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.14 : 32,094.78 = 5,812.12 : x
  2. Step 2: Convert to fraction form
    21,398.14/32,094.78 = 5,812.12/x
  3. Step 3: Cross multiply
    21,398.14x = 32,094.78 × 5,812.12
  4. Step 4: Simplify right side
    21,398.14x = 186,538,712.73
  5. Step 5: Solve for x
    x = 186,538,712.73/21,398.14
  6. Step 6: Final answer
    x = 8,717.52

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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.