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Finding the Fourth Proportional to 27,142.81, 37,461.04 and 15,206.96

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Solution

The fourth proportional to 27,142.81, 37,461.04 and 15,206.96 is: 20,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.81 : 37,461.04 = 15,206.96 : x
  2. Step 2: Convert to fraction form
    27,142.81/37,461.04 = 15,206.96/x
  3. Step 3: Cross multiply
    27,142.81x = 37,461.04 × 15,206.96
  4. Step 4: Simplify right side
    27,142.81x = 569,668,273.50
  5. Step 5: Solve for x
    x = 569,668,273.50/27,142.81
  6. Step 6: Final answer
    x = 20,987.81

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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.