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Finding the Fourth Proportional to 13,402.80, 18,486.63 and 8,090.82

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Solution

The fourth proportional to 13,402.80, 18,486.63 and 8,090.82 is: 11,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.80 : 18,486.63 = 8,090.82 : x
  2. Step 2: Convert to fraction form
    13,402.80/18,486.63 = 8,090.82/x
  3. Step 3: Cross multiply
    13,402.80x = 18,486.63 × 8,090.82
  4. Step 4: Simplify right side
    13,402.80x = 149,571,995.74
  5. Step 5: Solve for x
    x = 149,571,995.74/13,402.80
  6. Step 6: Final answer
    x = 11,159.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.