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Finding the Fourth Proportional to 24,236.50, 36,354.70 and 6,706.28

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Solution

The fourth proportional to 24,236.50, 36,354.70 and 6,706.28 is: 10,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,236.50 : 36,354.70 = 6,706.28 : x
  2. Step 2: Convert to fraction form
    24,236.50/36,354.70 = 6,706.28/x
  3. Step 3: Cross multiply
    24,236.50x = 36,354.70 × 6,706.28
  4. Step 4: Simplify right side
    24,236.50x = 243,804,797.52
  5. Step 5: Solve for x
    x = 243,804,797.52/24,236.50
  6. Step 6: Final answer
    x = 10,059.41

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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.