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Finding the Fourth Proportional to 23,136.66, 34,706.21 and 7,342.88

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Solution

The fourth proportional to 23,136.66, 34,706.21 and 7,342.88 is: 11,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.66 : 34,706.21 = 7,342.88 : x
  2. Step 2: Convert to fraction form
    23,136.66/34,706.21 = 7,342.88/x
  3. Step 3: Cross multiply
    23,136.66x = 34,706.21 × 7,342.88
  4. Step 4: Simplify right side
    23,136.66x = 254,843,325.04
  5. Step 5: Solve for x
    x = 254,843,325.04/23,136.66
  6. Step 6: Final answer
    x = 11,014.70

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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.