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Finding the Fourth Proportional to 27,141.72, 37,456.63 and 15,205.16

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Solution

The fourth proportional to 27,141.72, 37,456.63 and 15,205.16 is: 20,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.72 : 37,456.63 = 15,205.16 : x
  2. Step 2: Convert to fraction form
    27,141.72/37,456.63 = 15,205.16/x
  3. Step 3: Cross multiply
    27,141.72x = 37,456.63 × 15,205.16
  4. Step 4: Simplify right side
    27,141.72x = 569,533,826.91
  5. Step 5: Solve for x
    x = 569,533,826.91/27,141.72
  6. Step 6: Final answer
    x = 20,983.70

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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.