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Finding the Fourth Proportional to 23,563.33, 35,331.65 and 7,764.08

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Solution

The fourth proportional to 23,563.33, 35,331.65 and 7,764.08 is: 11,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.33 : 35,331.65 = 7,764.08 : x
  2. Step 2: Convert to fraction form
    23,563.33/35,331.65 = 7,764.08/x
  3. Step 3: Cross multiply
    23,563.33x = 35,331.65 × 7,764.08
  4. Step 4: Simplify right side
    23,563.33x = 274,317,570.77
  5. Step 5: Solve for x
    x = 274,317,570.77/23,563.33
  6. Step 6: Final answer
    x = 11,641.72

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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.