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Finding the Fourth Proportional to 19,642.86, 27,107.76 and 11,145.34

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Solution

The fourth proportional to 19,642.86, 27,107.76 and 11,145.34 is: 15,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.86 : 27,107.76 = 11,145.34 : x
  2. Step 2: Convert to fraction form
    19,642.86/27,107.76 = 11,145.34/x
  3. Step 3: Cross multiply
    19,642.86x = 27,107.76 × 11,145.34
  4. Step 4: Simplify right side
    19,642.86x = 302,125,010.57
  5. Step 5: Solve for x
    x = 302,125,010.57/19,642.86
  6. Step 6: Final answer
    x = 15,380.91

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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.