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Finding the Fourth Proportional to 17,222.21, 25,830.72 and 8,214.05

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Solution

The fourth proportional to 17,222.21, 25,830.72 and 8,214.05 is: 12,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.21 : 25,830.72 = 8,214.05 : x
  2. Step 2: Convert to fraction form
    17,222.21/25,830.72 = 8,214.05/x
  3. Step 3: Cross multiply
    17,222.21x = 25,830.72 × 8,214.05
  4. Step 4: Simplify right side
    17,222.21x = 212,174,696.46
  5. Step 5: Solve for x
    x = 212,174,696.46/17,222.21
  6. Step 6: Final answer
    x = 12,319.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.