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Finding the Fourth Proportional to 23,916.50, 35,880.51 and 7,500.50

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Solution

The fourth proportional to 23,916.50, 35,880.51 and 7,500.50 is: 11,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,916.50 : 35,880.51 = 7,500.50 : x
  2. Step 2: Convert to fraction form
    23,916.50/35,880.51 = 7,500.50/x
  3. Step 3: Cross multiply
    23,916.50x = 35,880.51 × 7,500.50
  4. Step 4: Simplify right side
    23,916.50x = 269,121,765.26
  5. Step 5: Solve for x
    x = 269,121,765.26/23,916.50
  6. Step 6: Final answer
    x = 11,252.56

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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.