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Finding the Fourth Proportional to 27,206.50, 37,535.52 and 17,135.78

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Solution

The fourth proportional to 27,206.50, 37,535.52 and 17,135.78 is: 23,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.50 : 37,535.52 = 17,135.78 : x
  2. Step 2: Convert to fraction form
    27,206.50/37,535.52 = 17,135.78/x
  3. Step 3: Cross multiply
    27,206.50x = 37,535.52 × 17,135.78
  4. Step 4: Simplify right side
    27,206.50x = 643,200,412.91
  5. Step 5: Solve for x
    x = 643,200,412.91/27,206.50
  6. Step 6: Final answer
    x = 23,641.42

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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.