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Finding the Fourth Proportional to 23,565.37, 35,353.25 and 7,769.77

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Solution

The fourth proportional to 23,565.37, 35,353.25 and 7,769.77 is: 11,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.37 : 35,353.25 = 7,769.77 : x
  2. Step 2: Convert to fraction form
    23,565.37/35,353.25 = 7,769.77/x
  3. Step 3: Cross multiply
    23,565.37x = 35,353.25 × 7,769.77
  4. Step 4: Simplify right side
    23,565.37x = 274,686,621.25
  5. Step 5: Solve for x
    x = 274,686,621.25/23,565.37
  6. Step 6: Final answer
    x = 11,656.37

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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.