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Finding the Fourth Proportional to 22,306.64, 30,783.57 and 12,234.47

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Solution

The fourth proportional to 22,306.64, 30,783.57 and 12,234.47 is: 16,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.64 : 30,783.57 = 12,234.47 : x
  2. Step 2: Convert to fraction form
    22,306.64/30,783.57 = 12,234.47/x
  3. Step 3: Cross multiply
    22,306.64x = 30,783.57 × 12,234.47
  4. Step 4: Simplify right side
    22,306.64x = 376,620,509.74
  5. Step 5: Solve for x
    x = 376,620,509.74/22,306.64
  6. Step 6: Final answer
    x = 16,883.79

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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.