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Finding the Fourth Proportional to 21,400.94, 32,093.15 and 7,358.31

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Solution

The fourth proportional to 21,400.94, 32,093.15 and 7,358.31 is: 11,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.94 : 32,093.15 = 7,358.31 : x
  2. Step 2: Convert to fraction form
    21,400.94/32,093.15 = 7,358.31/x
  3. Step 3: Cross multiply
    21,400.94x = 32,093.15 × 7,358.31
  4. Step 4: Simplify right side
    21,400.94x = 236,151,309.78
  5. Step 5: Solve for x
    x = 236,151,309.78/21,400.94
  6. Step 6: Final answer
    x = 11,034.62

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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.