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Finding the Fourth Proportional to 15,822.28, 23,739.97 and 6,933.02

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Solution

The fourth proportional to 15,822.28, 23,739.97 and 6,933.02 is: 10,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.28 : 23,739.97 = 6,933.02 : x
  2. Step 2: Convert to fraction form
    15,822.28/23,739.97 = 6,933.02/x
  3. Step 3: Cross multiply
    15,822.28x = 23,739.97 × 6,933.02
  4. Step 4: Simplify right side
    15,822.28x = 164,589,686.81
  5. Step 5: Solve for x
    x = 164,589,686.81/15,822.28
  6. Step 6: Final answer
    x = 10,402.40

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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.