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Finding the Fourth Proportional to 27,422.83, 41,125.73 and 9,890.38

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Solution

The fourth proportional to 27,422.83, 41,125.73 and 9,890.38 is: 14,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.83 : 41,125.73 = 9,890.38 : x
  2. Step 2: Convert to fraction form
    27,422.83/41,125.73 = 9,890.38/x
  3. Step 3: Cross multiply
    27,422.83x = 41,125.73 × 9,890.38
  4. Step 4: Simplify right side
    27,422.83x = 406,748,842.40
  5. Step 5: Solve for x
    x = 406,748,842.40/27,422.83
  6. Step 6: Final answer
    x = 14,832.49

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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.