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Finding the Fourth Proportional to 12,833.36, 17,709.85 and 7,168.19

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Solution

The fourth proportional to 12,833.36, 17,709.85 and 7,168.19 is: 9,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.36 : 17,709.85 = 7,168.19 : x
  2. Step 2: Convert to fraction form
    12,833.36/17,709.85 = 7,168.19/x
  3. Step 3: Cross multiply
    12,833.36x = 17,709.85 × 7,168.19
  4. Step 4: Simplify right side
    12,833.36x = 126,947,587.59
  5. Step 5: Solve for x
    x = 126,947,587.59/12,833.36
  6. Step 6: Final answer
    x = 9,892.00

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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.