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Finding the Fourth Proportional to 12,456.20, 17,181.96 and 7,417.04

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Solution

The fourth proportional to 12,456.20, 17,181.96 and 7,417.04 is: 10,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.20 : 17,181.96 = 7,417.04 : x
  2. Step 2: Convert to fraction form
    12,456.20/17,181.96 = 7,417.04/x
  3. Step 3: Cross multiply
    12,456.20x = 17,181.96 × 7,417.04
  4. Step 4: Simplify right side
    12,456.20x = 127,439,284.60
  5. Step 5: Solve for x
    x = 127,439,284.60/12,456.20
  6. Step 6: Final answer
    x = 10,230.99

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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.