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Finding the Fourth Proportional to 22,027.64, 30,398.36 and 11,956.16

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Solution

The fourth proportional to 22,027.64, 30,398.36 and 11,956.16 is: 16,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.64 : 30,398.36 = 11,956.16 : x
  2. Step 2: Convert to fraction form
    22,027.64/30,398.36 = 11,956.16/x
  3. Step 3: Cross multiply
    22,027.64x = 30,398.36 × 11,956.16
  4. Step 4: Simplify right side
    22,027.64x = 363,447,672.11
  5. Step 5: Solve for x
    x = 363,447,672.11/22,027.64
  6. Step 6: Final answer
    x = 16,499.62

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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.