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Finding the Fourth Proportional to 12,670.39, 17,485.16 and 7,081.39

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Solution

The fourth proportional to 12,670.39, 17,485.16 and 7,081.39 is: 9,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.39 : 17,485.16 = 7,081.39 : x
  2. Step 2: Convert to fraction form
    12,670.39/17,485.16 = 7,081.39/x
  3. Step 3: Cross multiply
    12,670.39x = 17,485.16 × 7,081.39
  4. Step 4: Simplify right side
    12,670.39x = 123,819,237.17
  5. Step 5: Solve for x
    x = 123,819,237.17/12,670.39
  6. Step 6: Final answer
    x = 9,772.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.