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Finding the Fourth Proportional to 13,776.90, 20,665.78 and 6,562.51

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Solution

The fourth proportional to 13,776.90, 20,665.78 and 6,562.51 is: 9,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.90 : 20,665.78 = 6,562.51 : x
  2. Step 2: Convert to fraction form
    13,776.90/20,665.78 = 6,562.51/x
  3. Step 3: Cross multiply
    13,776.90x = 20,665.78 × 6,562.51
  4. Step 4: Simplify right side
    13,776.90x = 135,619,319.84
  5. Step 5: Solve for x
    x = 135,619,319.84/13,776.90
  6. Step 6: Final answer
    x = 9,843.97

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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.