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Finding the Fourth Proportional to 27,031.74, 37,305.27 and 15,853.74

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Solution

The fourth proportional to 27,031.74, 37,305.27 and 15,853.74 is: 21,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.74 : 37,305.27 = 15,853.74 : x
  2. Step 2: Convert to fraction form
    27,031.74/37,305.27 = 15,853.74/x
  3. Step 3: Cross multiply
    27,031.74x = 37,305.27 × 15,853.74
  4. Step 4: Simplify right side
    27,031.74x = 591,428,051.21
  5. Step 5: Solve for x
    x = 591,428,051.21/27,031.74
  6. Step 6: Final answer
    x = 21,879.02

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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.