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Finding the Fourth Proportional to 12,952.05, 17,873.86 and 7,647.21

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Solution

The fourth proportional to 12,952.05, 17,873.86 and 7,647.21 is: 10,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.05 : 17,873.86 = 7,647.21 : x
  2. Step 2: Convert to fraction form
    12,952.05/17,873.86 = 7,647.21/x
  3. Step 3: Cross multiply
    12,952.05x = 17,873.86 × 7,647.21
  4. Step 4: Simplify right side
    12,952.05x = 136,685,033.33
  5. Step 5: Solve for x
    x = 136,685,033.33/12,952.05
  6. Step 6: Final answer
    x = 10,553.16

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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.