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Finding the Fourth Proportional to 13,707.18, 18,915.76 and 7,738.71

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Solution

The fourth proportional to 13,707.18, 18,915.76 and 7,738.71 is: 10,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.18 : 18,915.76 = 7,738.71 : x
  2. Step 2: Convert to fraction form
    13,707.18/18,915.76 = 7,738.71/x
  3. Step 3: Cross multiply
    13,707.18x = 18,915.76 × 7,738.71
  4. Step 4: Simplify right side
    13,707.18x = 146,383,581.07
  5. Step 5: Solve for x
    x = 146,383,581.07/13,707.18
  6. Step 6: Final answer
    x = 10,679.34

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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.