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Finding the Fourth Proportional to 21,149.04, 31,723.56 and 7,298.04

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Solution

The fourth proportional to 21,149.04, 31,723.56 and 7,298.04 is: 10,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.04 : 31,723.56 = 7,298.04 : x
  2. Step 2: Convert to fraction form
    21,149.04/31,723.56 = 7,298.04/x
  3. Step 3: Cross multiply
    21,149.04x = 31,723.56 × 7,298.04
  4. Step 4: Simplify right side
    21,149.04x = 231,519,809.82
  5. Step 5: Solve for x
    x = 231,519,809.82/21,149.04
  6. Step 6: Final answer
    x = 10,947.06

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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.