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Finding the Fourth Proportional to 22,342.12, 30,830.90 and 12,271.88

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Solution

The fourth proportional to 22,342.12, 30,830.90 and 12,271.88 is: 16,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.12 : 30,830.90 = 12,271.88 : x
  2. Step 2: Convert to fraction form
    22,342.12/30,830.90 = 12,271.88/x
  3. Step 3: Cross multiply
    22,342.12x = 30,830.90 × 12,271.88
  4. Step 4: Simplify right side
    22,342.12x = 378,353,105.09
  5. Step 5: Solve for x
    x = 378,353,105.09/22,342.12
  6. Step 6: Final answer
    x = 16,934.52

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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.