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Finding the Fourth Proportional to 13,956.70, 19,257.51 and 8,293.18

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Solution

The fourth proportional to 13,956.70, 19,257.51 and 8,293.18 is: 11,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.70 : 19,257.51 = 8,293.18 : x
  2. Step 2: Convert to fraction form
    13,956.70/19,257.51 = 8,293.18/x
  3. Step 3: Cross multiply
    13,956.70x = 19,257.51 × 8,293.18
  4. Step 4: Simplify right side
    13,956.70x = 159,705,996.78
  5. Step 5: Solve for x
    x = 159,705,996.78/13,956.70
  6. Step 6: Final answer
    x = 11,442.96

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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.