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Finding the Fourth Proportional to 23,845.53, 35,772.06 and 7,203.50

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Solution

The fourth proportional to 23,845.53, 35,772.06 and 7,203.50 is: 10,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845.53 : 35,772.06 = 7,203.50 : x
  2. Step 2: Convert to fraction form
    23,845.53/35,772.06 = 7,203.50/x
  3. Step 3: Cross multiply
    23,845.53x = 35,772.06 × 7,203.50
  4. Step 4: Simplify right side
    23,845.53x = 257,683,855.35
  5. Step 5: Solve for x
    x = 257,683,855.35/23,845.53
  6. Step 6: Final answer
    x = 10,806.38

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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.