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Finding the Fourth Proportional to 13,039.40, 17,995.14 and 7,374.66

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Solution

The fourth proportional to 13,039.40, 17,995.14 and 7,374.66 is: 10,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.40 : 17,995.14 = 7,374.66 : x
  2. Step 2: Convert to fraction form
    13,039.40/17,995.14 = 7,374.66/x
  3. Step 3: Cross multiply
    13,039.40x = 17,995.14 × 7,374.66
  4. Step 4: Simplify right side
    13,039.40x = 132,708,039.15
  5. Step 5: Solve for x
    x = 132,708,039.15/13,039.40
  6. Step 6: Final answer
    x = 10,177.47

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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.