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Finding the Fourth Proportional to 23,563.58, 35,349.70 and 7,769.54

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Solution

The fourth proportional to 23,563.58, 35,349.70 and 7,769.54 is: 11,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.58 : 35,349.70 = 7,769.54 : x
  2. Step 2: Convert to fraction form
    23,563.58/35,349.70 = 7,769.54/x
  3. Step 3: Cross multiply
    23,563.58x = 35,349.70 × 7,769.54
  4. Step 4: Simplify right side
    23,563.58x = 274,650,908.14
  5. Step 5: Solve for x
    x = 274,650,908.14/23,563.58
  6. Step 6: Final answer
    x = 11,655.74

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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.