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Finding the Fourth Proportional to 27,424.71, 41,128.47 and 9,892.26

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Solution

The fourth proportional to 27,424.71, 41,128.47 and 9,892.26 is: 14,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.71 : 41,128.47 = 9,892.26 : x
  2. Step 2: Convert to fraction form
    27,424.71/41,128.47 = 9,892.26/x
  3. Step 3: Cross multiply
    27,424.71x = 41,128.47 × 9,892.26
  4. Step 4: Simplify right side
    27,424.71x = 406,853,518.64
  5. Step 5: Solve for x
    x = 406,853,518.64/27,424.71
  6. Step 6: Final answer
    x = 14,835.29

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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.