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Finding the Fourth Proportional to 12,421.46, 17,142.45 and 6,832.82

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Solution

The fourth proportional to 12,421.46, 17,142.45 and 6,832.82 is: 9,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.46 : 17,142.45 = 6,832.82 : x
  2. Step 2: Convert to fraction form
    12,421.46/17,142.45 = 6,832.82/x
  3. Step 3: Cross multiply
    12,421.46x = 17,142.45 × 6,832.82
  4. Step 4: Simplify right side
    12,421.46x = 117,131,275.21
  5. Step 5: Solve for x
    x = 117,131,275.21/12,421.46
  6. Step 6: Final answer
    x = 9,429.75

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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.