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Finding the Fourth Proportional to 14,253.27, 19,667.30 and 7,964.43

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Solution

The fourth proportional to 14,253.27, 19,667.30 and 7,964.43 is: 10,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.27 : 19,667.30 = 7,964.43 : x
  2. Step 2: Convert to fraction form
    14,253.27/19,667.30 = 7,964.43/x
  3. Step 3: Cross multiply
    14,253.27x = 19,667.30 × 7,964.43
  4. Step 4: Simplify right side
    14,253.27x = 156,638,834.14
  5. Step 5: Solve for x
    x = 156,638,834.14/14,253.27
  6. Step 6: Final answer
    x = 10,989.68

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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.