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Finding the Fourth Proportional to 27,697.48, 38,219.02 and 15,761.03

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Solution

The fourth proportional to 27,697.48, 38,219.02 and 15,761.03 is: 21,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.48 : 38,219.02 = 15,761.03 : x
  2. Step 2: Convert to fraction form
    27,697.48/38,219.02 = 15,761.03/x
  3. Step 3: Cross multiply
    27,697.48x = 38,219.02 × 15,761.03
  4. Step 4: Simplify right side
    27,697.48x = 602,370,890.29
  5. Step 5: Solve for x
    x = 602,370,890.29/27,697.48
  6. Step 6: Final answer
    x = 21,748.22

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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.