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Finding the Fourth Proportional to 27,142.76, 37,457.62 and 15,205.48

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Solution

The fourth proportional to 27,142.76, 37,457.62 and 15,205.48 is: 20,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.76 : 37,457.62 = 15,205.48 : x
  2. Step 2: Convert to fraction form
    27,142.76/37,457.62 = 15,205.48/x
  3. Step 3: Cross multiply
    27,142.76x = 37,457.62 × 15,205.48
  4. Step 4: Simplify right side
    27,142.76x = 569,561,091.76
  5. Step 5: Solve for x
    x = 569,561,091.76/27,142.76
  6. Step 6: Final answer
    x = 20,983.90

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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.