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Finding the Fourth Proportional to 12,435.73, 17,156.61 and 7,400.16

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Solution

The fourth proportional to 12,435.73, 17,156.61 and 7,400.16 is: 10,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.73 : 17,156.61 = 7,400.16 : x
  2. Step 2: Convert to fraction form
    12,435.73/17,156.61 = 7,400.16/x
  3. Step 3: Cross multiply
    12,435.73x = 17,156.61 × 7,400.16
  4. Step 4: Simplify right side
    12,435.73x = 126,961,659.06
  5. Step 5: Solve for x
    x = 126,961,659.06/12,435.73
  6. Step 6: Final answer
    x = 10,209.43

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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.