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Finding the Fourth Proportional to 27,422.63, 41,133.95 and 9,892.45

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Solution

The fourth proportional to 27,422.63, 41,133.95 and 9,892.45 is: 14,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.63 : 41,133.95 = 9,892.45 : x
  2. Step 2: Convert to fraction form
    27,422.63/41,133.95 = 9,892.45/x
  3. Step 3: Cross multiply
    27,422.63x = 41,133.95 × 9,892.45
  4. Step 4: Simplify right side
    27,422.63x = 406,915,582.73
  5. Step 5: Solve for x
    x = 406,915,582.73/27,422.63
  6. Step 6: Final answer
    x = 14,838.68

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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.