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Finding the Fourth Proportional to 12,659.83, 17,467.57 and 7,351.49

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Solution

The fourth proportional to 12,659.83, 17,467.57 and 7,351.49 is: 10,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.83 : 17,467.57 = 7,351.49 : x
  2. Step 2: Convert to fraction form
    12,659.83/17,467.57 = 7,351.49/x
  3. Step 3: Cross multiply
    12,659.83x = 17,467.57 × 7,351.49
  4. Step 4: Simplify right side
    12,659.83x = 128,412,666.18
  5. Step 5: Solve for x
    x = 128,412,666.18/12,659.83
  6. Step 6: Final answer
    x = 10,143.32

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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.