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Finding the Fourth Proportional to 13,032.77, 19,546.15 and 7,769.26

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Solution

The fourth proportional to 13,032.77, 19,546.15 and 7,769.26 is: 11,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.77 : 19,546.15 = 7,769.26 : x
  2. Step 2: Convert to fraction form
    13,032.77/19,546.15 = 7,769.26/x
  3. Step 3: Cross multiply
    13,032.77x = 19,546.15 × 7,769.26
  4. Step 4: Simplify right side
    13,032.77x = 151,859,179.93
  5. Step 5: Solve for x
    x = 151,859,179.93/13,032.77
  6. Step 6: Final answer
    x = 11,652.11

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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.