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Finding the Fourth Proportional to 12,922.92, 17,833.86 and 7,333.32

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Solution

The fourth proportional to 12,922.92, 17,833.86 and 7,333.32 is: 10,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.92 : 17,833.86 = 7,333.32 : x
  2. Step 2: Convert to fraction form
    12,922.92/17,833.86 = 7,333.32/x
  3. Step 3: Cross multiply
    12,922.92x = 17,833.86 × 7,333.32
  4. Step 4: Simplify right side
    12,922.92x = 130,781,402.22
  5. Step 5: Solve for x
    x = 130,781,402.22/12,922.92
  6. Step 6: Final answer
    x = 10,120.11

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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.