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Finding the Fourth Proportional to 12,090.90, 16,685.49 and 6,713.41

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Solution

The fourth proportional to 12,090.90, 16,685.49 and 6,713.41 is: 9,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.90 : 16,685.49 = 6,713.41 : x
  2. Step 2: Convert to fraction form
    12,090.90/16,685.49 = 6,713.41/x
  3. Step 3: Cross multiply
    12,090.90x = 16,685.49 × 6,713.41
  4. Step 4: Simplify right side
    12,090.90x = 112,016,503.24
  5. Step 5: Solve for x
    x = 112,016,503.24/12,090.90
  6. Step 6: Final answer
    x = 9,264.53

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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.