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Finding the Fourth Proportional to 23,014.82, 34,522.27 and 7,004.50

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Solution

The fourth proportional to 23,014.82, 34,522.27 and 7,004.50 is: 10,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.82 : 34,522.27 = 7,004.50 : x
  2. Step 2: Convert to fraction form
    23,014.82/34,522.27 = 7,004.50/x
  3. Step 3: Cross multiply
    23,014.82x = 34,522.27 × 7,004.50
  4. Step 4: Simplify right side
    23,014.82x = 241,811,136.40
  5. Step 5: Solve for x
    x = 241,811,136.40/23,014.82
  6. Step 6: Final answer
    x = 10,506.76

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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.