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Finding the Fourth Proportional to 23,369.82, 35,049.06 and 7,785.42

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Solution

The fourth proportional to 23,369.82, 35,049.06 and 7,785.42 is: 11,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,369.82 : 35,049.06 = 7,785.42 : x
  2. Step 2: Convert to fraction form
    23,369.82/35,049.06 = 7,785.42/x
  3. Step 3: Cross multiply
    23,369.82x = 35,049.06 × 7,785.42
  4. Step 4: Simplify right side
    23,369.82x = 272,871,652.71
  5. Step 5: Solve for x
    x = 272,871,652.71/23,369.82
  6. Step 6: Final answer
    x = 11,676.24

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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.