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Finding the Fourth Proportional to 12,459.80, 17,194.38 and 7,154.48

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Solution

The fourth proportional to 12,459.80, 17,194.38 and 7,154.48 is: 9,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459.80 : 17,194.38 = 7,154.48 : x
  2. Step 2: Convert to fraction form
    12,459.80/17,194.38 = 7,154.48/x
  3. Step 3: Cross multiply
    12,459.80x = 17,194.38 × 7,154.48
  4. Step 4: Simplify right side
    12,459.80x = 123,016,847.82
  5. Step 5: Solve for x
    x = 123,016,847.82/12,459.80
  6. Step 6: Final answer
    x = 9,873.10

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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.