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Finding the Fourth Proportional to 12,422.07, 17,142.47 and 6,833.07

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Solution

The fourth proportional to 12,422.07, 17,142.47 and 6,833.07 is: 9,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.07 : 17,142.47 = 6,833.07 : x
  2. Step 2: Convert to fraction form
    12,422.07/17,142.47 = 6,833.07/x
  3. Step 3: Cross multiply
    12,422.07x = 17,142.47 × 6,833.07
  4. Step 4: Simplify right side
    12,422.07x = 117,135,663.32
  5. Step 5: Solve for x
    x = 117,135,663.32/12,422.07
  6. Step 6: Final answer
    x = 9,429.64

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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.