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Finding the Fourth Proportional to 19,691.30, 27,174.04 and 10,738.86

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Solution

The fourth proportional to 19,691.30, 27,174.04 and 10,738.86 is: 14,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.30 : 27,174.04 = 10,738.86 : x
  2. Step 2: Convert to fraction form
    19,691.30/27,174.04 = 10,738.86/x
  3. Step 3: Cross multiply
    19,691.30x = 27,174.04 × 10,738.86
  4. Step 4: Simplify right side
    19,691.30x = 291,818,211.19
  5. Step 5: Solve for x
    x = 291,818,211.19/19,691.30
  6. Step 6: Final answer
    x = 14,819.65

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