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Finding the Fourth Proportional to 13,952.27, 19,255.08 and 7,664.71

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Solution

The fourth proportional to 13,952.27, 19,255.08 and 7,664.71 is: 10,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.27 : 19,255.08 = 7,664.71 : x
  2. Step 2: Convert to fraction form
    13,952.27/19,255.08 = 7,664.71/x
  3. Step 3: Cross multiply
    13,952.27x = 19,255.08 × 7,664.71
  4. Step 4: Simplify right side
    13,952.27x = 147,584,604.23
  5. Step 5: Solve for x
    x = 147,584,604.23/13,952.27
  6. Step 6: Final answer
    x = 10,577.82

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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.