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Finding the Fourth Proportional to 12,996, 17,934.84 and 7,407

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Solution

The fourth proportional to 12,996, 17,934.84 and 7,407 is: 10,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 17,934.84 = 7,407 : x
  2. Step 2: Convert to fraction form
    12,996/17,934.84 = 7,407/x
  3. Step 3: Cross multiply
    12,996x = 17,934.84 × 7,407
  4. Step 4: Simplify right side
    12,996x = 132,843,359.88
  5. Step 5: Solve for x
    x = 132,843,359.88/12,996
  6. Step 6: Final answer
    x = 10,221.87

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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.