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Finding the Fourth Proportional to 13,264.72, 18,305.42 and 7,214.98

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Solution

The fourth proportional to 13,264.72, 18,305.42 and 7,214.98 is: 9,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.72 : 18,305.42 = 7,214.98 : x
  2. Step 2: Convert to fraction form
    13,264.72/18,305.42 = 7,214.98/x
  3. Step 3: Cross multiply
    13,264.72x = 18,305.42 × 7,214.98
  4. Step 4: Simplify right side
    13,264.72x = 132,073,239.19
  5. Step 5: Solve for x
    x = 132,073,239.19/13,264.72
  6. Step 6: Final answer
    x = 9,956.73

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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.