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Finding the Fourth Proportional to 12,739.09, 17,581.07 and 7,435.62

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Solution

The fourth proportional to 12,739.09, 17,581.07 and 7,435.62 is: 10,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.09 : 17,581.07 = 7,435.62 : x
  2. Step 2: Convert to fraction form
    12,739.09/17,581.07 = 7,435.62/x
  3. Step 3: Cross multiply
    12,739.09x = 17,581.07 × 7,435.62
  4. Step 4: Simplify right side
    12,739.09x = 130,726,155.71
  5. Step 5: Solve for x
    x = 130,726,155.71/12,739.09
  6. Step 6: Final answer
    x = 10,261.81

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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.