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Finding the Fourth Proportional to 27,007.74, 40,378.50 and 22,893.75

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Solution

The fourth proportional to 27,007.74, 40,378.50 and 22,893.75 is: 34,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.74 : 40,378.50 = 22,893.75 : x
  2. Step 2: Convert to fraction form
    27,007.74/40,378.50 = 22,893.75/x
  3. Step 3: Cross multiply
    27,007.74x = 40,378.50 × 22,893.75
  4. Step 4: Simplify right side
    27,007.74x = 924,415,284.38
  5. Step 5: Solve for x
    x = 924,415,284.38/27,007.74
  6. Step 6: Final answer
    x = 34,227.79

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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.