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Finding the Fourth Proportional to 23,133.42, 34,705.62 and 7,551

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Solution

The fourth proportional to 23,133.42, 34,705.62 and 7,551 is: 11,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.42 : 34,705.62 = 7,551 : x
  2. Step 2: Convert to fraction form
    23,133.42/34,705.62 = 7,551/x
  3. Step 3: Cross multiply
    23,133.42x = 34,705.62 × 7,551
  4. Step 4: Simplify right side
    23,133.42x = 262,062,136.62
  5. Step 5: Solve for x
    x = 262,062,136.62/23,133.42
  6. Step 6: Final answer
    x = 11,328.29

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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.