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Finding the Fourth Proportional to 12,802.65, 17,667.72 and 7,137.75

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Solution

The fourth proportional to 12,802.65, 17,667.72 and 7,137.75 is: 9,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.65 : 17,667.72 = 7,137.75 : x
  2. Step 2: Convert to fraction form
    12,802.65/17,667.72 = 7,137.75/x
  3. Step 3: Cross multiply
    12,802.65x = 17,667.72 × 7,137.75
  4. Step 4: Simplify right side
    12,802.65x = 126,107,768.43
  5. Step 5: Solve for x
    x = 126,107,768.43/12,802.65
  6. Step 6: Final answer
    x = 9,850.13

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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.