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Finding the Fourth Proportional to 19,715.96, 27,202.82 and 11,218.16

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Solution

The fourth proportional to 19,715.96, 27,202.82 and 11,218.16 is: 15,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.96 : 27,202.82 = 11,218.16 : x
  2. Step 2: Convert to fraction form
    19,715.96/27,202.82 = 11,218.16/x
  3. Step 3: Cross multiply
    19,715.96x = 27,202.82 × 11,218.16
  4. Step 4: Simplify right side
    19,715.96x = 305,165,587.21
  5. Step 5: Solve for x
    x = 305,165,587.21/19,715.96
  6. Step 6: Final answer
    x = 15,478.10

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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.