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Finding the Fourth Proportional to 12,256.50, 18,355.50 and 7,051.44

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Solution

The fourth proportional to 12,256.50, 18,355.50 and 7,051.44 is: 10,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.50 : 18,355.50 = 7,051.44 : x
  2. Step 2: Convert to fraction form
    12,256.50/18,355.50 = 7,051.44/x
  3. Step 3: Cross multiply
    12,256.50x = 18,355.50 × 7,051.44
  4. Step 4: Simplify right side
    12,256.50x = 129,432,706.92
  5. Step 5: Solve for x
    x = 129,432,706.92/12,256.50
  6. Step 6: Final answer
    x = 10,560.33

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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.