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Finding the Fourth Proportional to 15,833.27, 23,742.23 and 6,469.56

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Solution

The fourth proportional to 15,833.27, 23,742.23 and 6,469.56 is: 9,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.27 : 23,742.23 = 6,469.56 : x
  2. Step 2: Convert to fraction form
    15,833.27/23,742.23 = 6,469.56/x
  3. Step 3: Cross multiply
    15,833.27x = 23,742.23 × 6,469.56
  4. Step 4: Simplify right side
    15,833.27x = 153,601,749.17
  5. Step 5: Solve for x
    x = 153,601,749.17/15,833.27
  6. Step 6: Final answer
    x = 9,701.20

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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.