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Finding the Fourth Proportional to 22,014.88, 30,380.24 and 12,583.20

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Solution

The fourth proportional to 22,014.88, 30,380.24 and 12,583.20 is: 17,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.88 : 30,380.24 = 12,583.20 : x
  2. Step 2: Convert to fraction form
    22,014.88/30,380.24 = 12,583.20/x
  3. Step 3: Cross multiply
    22,014.88x = 30,380.24 × 12,583.20
  4. Step 4: Simplify right side
    22,014.88x = 382,280,635.97
  5. Step 5: Solve for x
    x = 382,280,635.97/22,014.88
  6. Step 6: Final answer
    x = 17,364.65

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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.