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Finding the Fourth Proportional to 23,142.64, 34,706.78 and 8,349.63

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Solution

The fourth proportional to 23,142.64, 34,706.78 and 8,349.63 is: 12,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.64 : 34,706.78 = 8,349.63 : x
  2. Step 2: Convert to fraction form
    23,142.64/34,706.78 = 8,349.63/x
  3. Step 3: Cross multiply
    23,142.64x = 34,706.78 × 8,349.63
  4. Step 4: Simplify right side
    23,142.64x = 289,788,771.49
  5. Step 5: Solve for x
    x = 289,788,771.49/23,142.64
  6. Step 6: Final answer
    x = 12,521.85

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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.