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Finding the Fourth Proportional to 27,071.57, 40,606.43 and 9,540.95

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Solution

The fourth proportional to 27,071.57, 40,606.43 and 9,540.95 is: 14,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,071.57 : 40,606.43 = 9,540.95 : x
  2. Step 2: Convert to fraction form
    27,071.57/40,606.43 = 9,540.95/x
  3. Step 3: Cross multiply
    27,071.57x = 40,606.43 × 9,540.95
  4. Step 4: Simplify right side
    27,071.57x = 387,423,667.57
  5. Step 5: Solve for x
    x = 387,423,667.57/27,071.57
  6. Step 6: Final answer
    x = 14,311.09

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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.