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Finding the Fourth Proportional to 23,424.50, 35,142.42 and 9,573.50

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Solution

The fourth proportional to 23,424.50, 35,142.42 and 9,573.50 is: 14,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.50 : 35,142.42 = 9,573.50 : x
  2. Step 2: Convert to fraction form
    23,424.50/35,142.42 = 9,573.50/x
  3. Step 3: Cross multiply
    23,424.50x = 35,142.42 × 9,573.50
  4. Step 4: Simplify right side
    23,424.50x = 336,435,957.87
  5. Step 5: Solve for x
    x = 336,435,957.87/23,424.50
  6. Step 6: Final answer
    x = 14,362.57

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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.