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Finding the Fourth Proportional to 12,399.86, 17,106.96 and 7,091.84

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Solution

The fourth proportional to 12,399.86, 17,106.96 and 7,091.84 is: 9,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.86 : 17,106.96 = 7,091.84 : x
  2. Step 2: Convert to fraction form
    12,399.86/17,106.96 = 7,091.84/x
  3. Step 3: Cross multiply
    12,399.86x = 17,106.96 × 7,091.84
  4. Step 4: Simplify right side
    12,399.86x = 121,319,823.21
  5. Step 5: Solve for x
    x = 121,319,823.21/12,399.86
  6. Step 6: Final answer
    x = 9,783.97

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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.