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Finding the Fourth Proportional to 23,920.50, 35,880.78 and 7,504.50

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Solution

The fourth proportional to 23,920.50, 35,880.78 and 7,504.50 is: 11,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.50 : 35,880.78 = 7,504.50 : x
  2. Step 2: Convert to fraction form
    23,920.50/35,880.78 = 7,504.50/x
  3. Step 3: Cross multiply
    23,920.50x = 35,880.78 × 7,504.50
  4. Step 4: Simplify right side
    23,920.50x = 269,267,313.51
  5. Step 5: Solve for x
    x = 269,267,313.51/23,920.50
  6. Step 6: Final answer
    x = 11,256.76

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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.