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Finding the Fourth Proportional to 12,456.64, 17,189.58 and 7,424.20

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Solution

The fourth proportional to 12,456.64, 17,189.58 and 7,424.20 is: 10,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.64 : 17,189.58 = 7,424.20 : x
  2. Step 2: Convert to fraction form
    12,456.64/17,189.58 = 7,424.20/x
  3. Step 3: Cross multiply
    12,456.64x = 17,189.58 × 7,424.20
  4. Step 4: Simplify right side
    12,456.64x = 127,618,879.84
  5. Step 5: Solve for x
    x = 127,618,879.84/12,456.64
  6. Step 6: Final answer
    x = 10,245.05

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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.