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Finding the Fourth Proportional to 12,704.42, 17,520.66 and 8,223.50

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Solution

The fourth proportional to 12,704.42, 17,520.66 and 8,223.50 is: 11,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.42 : 17,520.66 = 8,223.50 : x
  2. Step 2: Convert to fraction form
    12,704.42/17,520.66 = 8,223.50/x
  3. Step 3: Cross multiply
    12,704.42x = 17,520.66 × 8,223.50
  4. Step 4: Simplify right side
    12,704.42x = 144,081,059.91
  5. Step 5: Solve for x
    x = 144,081,059.91/12,704.42
  6. Step 6: Final answer
    x = 11,341.02

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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.