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Finding the Fourth Proportional to 27,617.34, 38,112.36 and 15,681

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Solution

The fourth proportional to 27,617.34, 38,112.36 and 15,681 is: 21,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.34 : 38,112.36 = 15,681 : x
  2. Step 2: Convert to fraction form
    27,617.34/38,112.36 = 15,681/x
  3. Step 3: Cross multiply
    27,617.34x = 38,112.36 × 15,681
  4. Step 4: Simplify right side
    27,617.34x = 597,639,917.16
  5. Step 5: Solve for x
    x = 597,639,917.16/27,617.34
  6. Step 6: Final answer
    x = 21,640.02

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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.