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Finding the Fourth Proportional to 13,707.06, 18,915.81 and 7,419.44

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Solution

The fourth proportional to 13,707.06, 18,915.81 and 7,419.44 is: 10,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.06 : 18,915.81 = 7,419.44 : x
  2. Step 2: Convert to fraction form
    13,707.06/18,915.81 = 7,419.44/x
  3. Step 3: Cross multiply
    13,707.06x = 18,915.81 × 7,419.44
  4. Step 4: Simplify right side
    13,707.06x = 140,344,693.70
  5. Step 5: Solve for x
    x = 140,344,693.70/13,707.06
  6. Step 6: Final answer
    x = 10,238.86

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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.