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Finding the Fourth Proportional to 12,422.32, 17,142.80 and 6,833.32

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Solution

The fourth proportional to 12,422.32, 17,142.80 and 6,833.32 is: 9,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.32 : 17,142.80 = 6,833.32 : x
  2. Step 2: Convert to fraction form
    12,422.32/17,142.80 = 6,833.32/x
  3. Step 3: Cross multiply
    12,422.32x = 17,142.80 × 6,833.32
  4. Step 4: Simplify right side
    12,422.32x = 117,142,238.10
  5. Step 5: Solve for x
    x = 117,142,238.10/12,422.32
  6. Step 6: Final answer
    x = 9,429.98

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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.