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Finding the Fourth Proportional to 27,314.58, 40,971.85 and 9,796.71

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Solution

The fourth proportional to 27,314.58, 40,971.85 and 9,796.71 is: 14,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.58 : 40,971.85 = 9,796.71 : x
  2. Step 2: Convert to fraction form
    27,314.58/40,971.85 = 9,796.71/x
  3. Step 3: Cross multiply
    27,314.58x = 40,971.85 × 9,796.71
  4. Step 4: Simplify right side
    27,314.58x = 401,389,332.61
  5. Step 5: Solve for x
    x = 401,389,332.61/27,314.58
  6. Step 6: Final answer
    x = 14,695.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.