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Finding the Fourth Proportional to 12,385.12, 17,096.52 and 9,235.84

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Solution

The fourth proportional to 12,385.12, 17,096.52 and 9,235.84 is: 12,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.12 : 17,096.52 = 9,235.84 : x
  2. Step 2: Convert to fraction form
    12,385.12/17,096.52 = 9,235.84/x
  3. Step 3: Cross multiply
    12,385.12x = 17,096.52 × 9,235.84
  4. Step 4: Simplify right side
    12,385.12x = 157,900,723.28
  5. Step 5: Solve for x
    x = 157,900,723.28/12,385.12
  6. Step 6: Final answer
    x = 12,749.23

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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.