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Finding the Fourth Proportional to 13,773.47, 20,659.82 and 9,260.19

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Solution

The fourth proportional to 13,773.47, 20,659.82 and 9,260.19 is: 13,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.47 : 20,659.82 = 9,260.19 : x
  2. Step 2: Convert to fraction form
    13,773.47/20,659.82 = 9,260.19/x
  3. Step 3: Cross multiply
    13,773.47x = 20,659.82 × 9,260.19
  4. Step 4: Simplify right side
    13,773.47x = 191,313,889.74
  5. Step 5: Solve for x
    x = 191,313,889.74/13,773.47
  6. Step 6: Final answer
    x = 13,890.03

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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.