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Finding the Fourth Proportional to 13,400.76, 18,493.74 and 10,083

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Solution

The fourth proportional to 13,400.76, 18,493.74 and 10,083 is: 13,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.76 : 18,493.74 = 10,083 : x
  2. Step 2: Convert to fraction form
    13,400.76/18,493.74 = 10,083/x
  3. Step 3: Cross multiply
    13,400.76x = 18,493.74 × 10,083
  4. Step 4: Simplify right side
    13,400.76x = 186,472,380.42
  5. Step 5: Solve for x
    x = 186,472,380.42/13,400.76
  6. Step 6: Final answer
    x = 13,915.06

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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.