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Finding the Fourth Proportional to 27,142.71, 37,457.67 and 15,205.79

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Solution

The fourth proportional to 27,142.71, 37,457.67 and 15,205.79 is: 20,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.71 : 37,457.67 = 15,205.79 : x
  2. Step 2: Convert to fraction form
    27,142.71/37,457.67 = 15,205.79/x
  3. Step 3: Cross multiply
    27,142.71x = 37,457.67 × 15,205.79
  4. Step 4: Simplify right side
    27,142.71x = 569,573,276.62
  5. Step 5: Solve for x
    x = 569,573,276.62/27,142.71
  6. Step 6: Final answer
    x = 20,984.40

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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.