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Finding the Fourth Proportional to 18,290.80, 27,434.98 and 7,206.36

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Solution

The fourth proportional to 18,290.80, 27,434.98 and 7,206.36 is: 10,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290.80 : 27,434.98 = 7,206.36 : x
  2. Step 2: Convert to fraction form
    18,290.80/27,434.98 = 7,206.36/x
  3. Step 3: Cross multiply
    18,290.80x = 27,434.98 × 7,206.36
  4. Step 4: Simplify right side
    18,290.80x = 197,706,342.47
  5. Step 5: Solve for x
    x = 197,706,342.47/18,290.80
  6. Step 6: Final answer
    x = 10,809.06

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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.