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Finding the Fourth Proportional to 12,645.50, 18,972.29 and 6,072.14

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Solution

The fourth proportional to 12,645.50, 18,972.29 and 6,072.14 is: 9,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.50 : 18,972.29 = 6,072.14 : x
  2. Step 2: Convert to fraction form
    12,645.50/18,972.29 = 6,072.14/x
  3. Step 3: Cross multiply
    12,645.50x = 18,972.29 × 6,072.14
  4. Step 4: Simplify right side
    12,645.50x = 115,202,463.61
  5. Step 5: Solve for x
    x = 115,202,463.61/12,645.50
  6. Step 6: Final answer
    x = 9,110.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.