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Finding the Fourth Proportional to 23,638.79, 35,462.40 and 7,844.76

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Solution

The fourth proportional to 23,638.79, 35,462.40 and 7,844.76 is: 11,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.79 : 35,462.40 = 7,844.76 : x
  2. Step 2: Convert to fraction form
    23,638.79/35,462.40 = 7,844.76/x
  3. Step 3: Cross multiply
    23,638.79x = 35,462.40 × 7,844.76
  4. Step 4: Simplify right side
    23,638.79x = 278,194,017.02
  5. Step 5: Solve for x
    x = 278,194,017.02/23,638.79
  6. Step 6: Final answer
    x = 11,768.54

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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.