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Finding the Fourth Proportional to 27,202.50, 37,530 and 17,131.77

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Solution

The fourth proportional to 27,202.50, 37,530 and 17,131.77 is: 23,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.50 : 37,530 = 17,131.77 : x
  2. Step 2: Convert to fraction form
    27,202.50/37,530 = 17,131.77/x
  3. Step 3: Cross multiply
    27,202.50x = 37,530 × 17,131.77
  4. Step 4: Simplify right side
    27,202.50x = 642,955,328.10
  5. Step 5: Solve for x
    x = 642,955,328.10/27,202.50
  6. Step 6: Final answer
    x = 23,635.89

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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.