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Finding the Fourth Proportional to 21,169.04, 31,727.64 and 7,301.84

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Solution

The fourth proportional to 21,169.04, 31,727.64 and 7,301.84 is: 10,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.04 : 31,727.64 = 7,301.84 : x
  2. Step 2: Convert to fraction form
    21,169.04/31,727.64 = 7,301.84/x
  3. Step 3: Cross multiply
    21,169.04x = 31,727.64 × 7,301.84
  4. Step 4: Simplify right side
    21,169.04x = 231,670,150.86
  5. Step 5: Solve for x
    x = 231,670,150.86/21,169.04
  6. Step 6: Final answer
    x = 10,943.82

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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.