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Finding the Fourth Proportional to 14,667.10, 20,238.66 and 8,294.56

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Solution

The fourth proportional to 14,667.10, 20,238.66 and 8,294.56 is: 11,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.10 : 20,238.66 = 8,294.56 : x
  2. Step 2: Convert to fraction form
    14,667.10/20,238.66 = 8,294.56/x
  3. Step 3: Cross multiply
    14,667.10x = 20,238.66 × 8,294.56
  4. Step 4: Simplify right side
    14,667.10x = 167,870,729.09
  5. Step 5: Solve for x
    x = 167,870,729.09/14,667.10
  6. Step 6: Final answer
    x = 11,445.40

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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.