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Finding the Fourth Proportional to 12,456.40, 17,186.35 and 7,149.28

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Solution

The fourth proportional to 12,456.40, 17,186.35 and 7,149.28 is: 9,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.40 : 17,186.35 = 7,149.28 : x
  2. Step 2: Convert to fraction form
    12,456.40/17,186.35 = 7,149.28/x
  3. Step 3: Cross multiply
    12,456.40x = 17,186.35 × 7,149.28
  4. Step 4: Simplify right side
    12,456.40x = 122,870,028.33
  5. Step 5: Solve for x
    x = 122,870,028.33/12,456.40
  6. Step 6: Final answer
    x = 9,864.01

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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.