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Finding the Fourth Proportional to 13,707.72, 18,915.75 and 7,738.23

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Solution

The fourth proportional to 13,707.72, 18,915.75 and 7,738.23 is: 10,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.72 : 18,915.75 = 7,738.23 : x
  2. Step 2: Convert to fraction form
    13,707.72/18,915.75 = 7,738.23/x
  3. Step 3: Cross multiply
    13,707.72x = 18,915.75 × 7,738.23
  4. Step 4: Simplify right side
    13,707.72x = 146,374,424.12
  5. Step 5: Solve for x
    x = 146,374,424.12/13,707.72
  6. Step 6: Final answer
    x = 10,678.25

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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.