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Finding the Fourth Proportional to 19,712.88, 27,202.14 and 11,212.74

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Solution

The fourth proportional to 19,712.88, 27,202.14 and 11,212.74 is: 15,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.88 : 27,202.14 = 11,212.74 : x
  2. Step 2: Convert to fraction form
    19,712.88/27,202.14 = 11,212.74/x
  3. Step 3: Cross multiply
    19,712.88x = 27,202.14 × 11,212.74
  4. Step 4: Simplify right side
    19,712.88x = 305,010,523.26
  5. Step 5: Solve for x
    x = 305,010,523.26/19,712.88
  6. Step 6: Final answer
    x = 15,472.65

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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.