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Finding the Fourth Proportional to 27,796.59, 41,695.19 and 10,931.31

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Solution

The fourth proportional to 27,796.59, 41,695.19 and 10,931.31 is: 16,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.59 : 41,695.19 = 10,931.31 : x
  2. Step 2: Convert to fraction form
    27,796.59/41,695.19 = 10,931.31/x
  3. Step 3: Cross multiply
    27,796.59x = 41,695.19 × 10,931.31
  4. Step 4: Simplify right side
    27,796.59x = 455,782,992.74
  5. Step 5: Solve for x
    x = 455,782,992.74/27,796.59
  6. Step 6: Final answer
    x = 16,397.08

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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.