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Finding the Fourth Proportional to 27,206.80, 37,553.16 and 17,646.48

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Solution

The fourth proportional to 27,206.80, 37,553.16 and 17,646.48 is: 24,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.80 : 37,553.16 = 17,646.48 : x
  2. Step 2: Convert to fraction form
    27,206.80/37,553.16 = 17,646.48/x
  3. Step 3: Cross multiply
    27,206.80x = 37,553.16 × 17,646.48
  4. Step 4: Simplify right side
    27,206.80x = 662,681,086.88
  5. Step 5: Solve for x
    x = 662,681,086.88/27,206.80
  6. Step 6: Final answer
    x = 24,357.19

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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.