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Finding the Fourth Proportional to 27,511.57, 37,966.07 and 14,936.32

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Solution

The fourth proportional to 27,511.57, 37,966.07 and 14,936.32 is: 20,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.57 : 37,966.07 = 14,936.32 : x
  2. Step 2: Convert to fraction form
    27,511.57/37,966.07 = 14,936.32/x
  3. Step 3: Cross multiply
    27,511.57x = 37,966.07 × 14,936.32
  4. Step 4: Simplify right side
    27,511.57x = 567,073,370.66
  5. Step 5: Solve for x
    x = 567,073,370.66/27,511.57
  6. Step 6: Final answer
    x = 20,612.18

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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.