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Finding the Fourth Proportional to 27,889.07, 41,853.24 and 13,098.47

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Solution

The fourth proportional to 27,889.07, 41,853.24 and 13,098.47 is: 19,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889.07 : 41,853.24 = 13,098.47 : x
  2. Step 2: Convert to fraction form
    27,889.07/41,853.24 = 13,098.47/x
  3. Step 3: Cross multiply
    27,889.07x = 41,853.24 × 13,098.47
  4. Step 4: Simplify right side
    27,889.07x = 548,213,199.28
  5. Step 5: Solve for x
    x = 548,213,199.28/27,889.07
  6. Step 6: Final answer
    x = 19,656.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.