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Finding the Fourth Proportional to 21,538, 29,724.34 and 12,106.64

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Solution

The fourth proportional to 21,538, 29,724.34 and 12,106.64 is: 16,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538 : 29,724.34 = 12,106.64 : x
  2. Step 2: Convert to fraction form
    21,538/29,724.34 = 12,106.64/x
  3. Step 3: Cross multiply
    21,538x = 29,724.34 × 12,106.64
  4. Step 4: Simplify right side
    21,538x = 359,861,883.62
  5. Step 5: Solve for x
    x = 359,861,883.62/21,538
  6. Step 6: Final answer
    x = 16,708.23

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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.