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Finding the Fourth Proportional to 12,667.86, 17,482.23 and 7,633.71

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Solution

The fourth proportional to 12,667.86, 17,482.23 and 7,633.71 is: 10,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.86 : 17,482.23 = 7,633.71 : x
  2. Step 2: Convert to fraction form
    12,667.86/17,482.23 = 7,633.71/x
  3. Step 3: Cross multiply
    12,667.86x = 17,482.23 × 7,633.71
  4. Step 4: Simplify right side
    12,667.86x = 133,454,273.97
  5. Step 5: Solve for x
    x = 133,454,273.97/12,667.86
  6. Step 6: Final answer
    x = 10,534.87

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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.