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Finding the Fourth Proportional to 12,392, 17,103.12 and 7,424

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Solution

The fourth proportional to 12,392, 17,103.12 and 7,424 is: 10,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392 : 17,103.12 = 7,424 : x
  2. Step 2: Convert to fraction form
    12,392/17,103.12 = 7,424/x
  3. Step 3: Cross multiply
    12,392x = 17,103.12 × 7,424
  4. Step 4: Simplify right side
    12,392x = 126,973,562.88
  5. Step 5: Solve for x
    x = 126,973,562.88/12,392
  6. Step 6: Final answer
    x = 10,246.41

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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.