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Finding the Fourth Proportional to 13,140.71, 18,134.12 and 7,476.34

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Solution

The fourth proportional to 13,140.71, 18,134.12 and 7,476.34 is: 10,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.71 : 18,134.12 = 7,476.34 : x
  2. Step 2: Convert to fraction form
    13,140.71/18,134.12 = 7,476.34/x
  3. Step 3: Cross multiply
    13,140.71x = 18,134.12 × 7,476.34
  4. Step 4: Simplify right side
    13,140.71x = 135,576,759.15
  5. Step 5: Solve for x
    x = 135,576,759.15/13,140.71
  6. Step 6: Final answer
    x = 10,317.31

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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.