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Finding the Fourth Proportional to 15,728.30, 21,704.88 and 8,923.57

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Solution

The fourth proportional to 15,728.30, 21,704.88 and 8,923.57 is: 12,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.30 : 21,704.88 = 8,923.57 : x
  2. Step 2: Convert to fraction form
    15,728.30/21,704.88 = 8,923.57/x
  3. Step 3: Cross multiply
    15,728.30x = 21,704.88 × 8,923.57
  4. Step 4: Simplify right side
    15,728.30x = 193,684,995.22
  5. Step 5: Solve for x
    x = 193,684,995.22/15,728.30
  6. Step 6: Final answer
    x = 12,314.43

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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.