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Finding the Fourth Proportional to 19,691.12, 27,176.64 and 11,738

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Solution

The fourth proportional to 19,691.12, 27,176.64 and 11,738 is: 16,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.12 : 27,176.64 = 11,738 : x
  2. Step 2: Convert to fraction form
    19,691.12/27,176.64 = 11,738/x
  3. Step 3: Cross multiply
    19,691.12x = 27,176.64 × 11,738
  4. Step 4: Simplify right side
    19,691.12x = 318,999,400.32
  5. Step 5: Solve for x
    x = 318,999,400.32/19,691.12
  6. Step 6: Final answer
    x = 16,200.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.