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Finding the Fourth Proportional to 27,982.52, 38,615.64 and 15,407

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Solution

The fourth proportional to 27,982.52, 38,615.64 and 15,407 is: 21,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.52 : 38,615.64 = 15,407 : x
  2. Step 2: Convert to fraction form
    27,982.52/38,615.64 = 15,407/x
  3. Step 3: Cross multiply
    27,982.52x = 38,615.64 × 15,407
  4. Step 4: Simplify right side
    27,982.52x = 594,951,165.48
  5. Step 5: Solve for x
    x = 594,951,165.48/27,982.52
  6. Step 6: Final answer
    x = 21,261.53

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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.