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Finding the Fourth Proportional to 23,353.96, 35,023.26 and 7,767.40

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Solution

The fourth proportional to 23,353.96, 35,023.26 and 7,767.40 is: 11,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.96 : 35,023.26 = 7,767.40 : x
  2. Step 2: Convert to fraction form
    23,353.96/35,023.26 = 7,767.40/x
  3. Step 3: Cross multiply
    23,353.96x = 35,023.26 × 7,767.40
  4. Step 4: Simplify right side
    23,353.96x = 272,039,669.72
  5. Step 5: Solve for x
    x = 272,039,669.72/23,353.96
  6. Step 6: Final answer
    x = 11,648.55

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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.