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Finding the Fourth Proportional to 21,338.18, 32,012.25 and 7,298.31

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Solution

The fourth proportional to 21,338.18, 32,012.25 and 7,298.31 is: 10,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.18 : 32,012.25 = 7,298.31 : x
  2. Step 2: Convert to fraction form
    21,338.18/32,012.25 = 7,298.31/x
  3. Step 3: Cross multiply
    21,338.18x = 32,012.25 × 7,298.31
  4. Step 4: Simplify right side
    21,338.18x = 233,635,416.97
  5. Step 5: Solve for x
    x = 233,635,416.97/21,338.18
  6. Step 6: Final answer
    x = 10,949.17

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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.