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Finding the Fourth Proportional to 13,040.68, 17,991.66 and 7,374.76

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Solution

The fourth proportional to 13,040.68, 17,991.66 and 7,374.76 is: 10,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.68 : 17,991.66 = 7,374.76 : x
  2. Step 2: Convert to fraction form
    13,040.68/17,991.66 = 7,374.76/x
  3. Step 3: Cross multiply
    13,040.68x = 17,991.66 × 7,374.76
  4. Step 4: Simplify right side
    13,040.68x = 132,684,174.50
  5. Step 5: Solve for x
    x = 132,684,174.50/13,040.68
  6. Step 6: Final answer
    x = 10,174.64

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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.