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Finding the Fourth Proportional to 13,446.96, 18,554.06 and 7,856.88

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Solution

The fourth proportional to 13,446.96, 18,554.06 and 7,856.88 is: 10,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.96 : 18,554.06 = 7,856.88 : x
  2. Step 2: Convert to fraction form
    13,446.96/18,554.06 = 7,856.88/x
  3. Step 3: Cross multiply
    13,446.96x = 18,554.06 × 7,856.88
  4. Step 4: Simplify right side
    13,446.96x = 145,777,022.93
  5. Step 5: Solve for x
    x = 145,777,022.93/13,446.96
  6. Step 6: Final answer
    x = 10,840.89

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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.