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Finding the Fourth Proportional to 12,485.39, 17,230.35 and 7,180.20

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Solution

The fourth proportional to 12,485.39, 17,230.35 and 7,180.20 is: 9,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.39 : 17,230.35 = 7,180.20 : x
  2. Step 2: Convert to fraction form
    12,485.39/17,230.35 = 7,180.20/x
  3. Step 3: Cross multiply
    12,485.39x = 17,230.35 × 7,180.20
  4. Step 4: Simplify right side
    12,485.39x = 123,717,359.07
  5. Step 5: Solve for x
    x = 123,717,359.07/12,485.39
  6. Step 6: Final answer
    x = 9,908.97

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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.