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Finding the Fourth Proportional to 22,827.22, 34,225.34 and 8,034.19

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Solution

The fourth proportional to 22,827.22, 34,225.34 and 8,034.19 is: 12,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.22 : 34,225.34 = 8,034.19 : x
  2. Step 2: Convert to fraction form
    22,827.22/34,225.34 = 8,034.19/x
  3. Step 3: Cross multiply
    22,827.22x = 34,225.34 × 8,034.19
  4. Step 4: Simplify right side
    22,827.22x = 274,972,758.64
  5. Step 5: Solve for x
    x = 274,972,758.64/22,827.22
  6. Step 6: Final answer
    x = 12,045.83

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1.5x scale

Why These Related Problems?

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