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Finding the Fourth Proportional to 23,920, 35,888.64 and 7,504

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Solution

The fourth proportional to 23,920, 35,888.64 and 7,504 is: 11,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920 : 35,888.64 = 7,504 : x
  2. Step 2: Convert to fraction form
    23,920/35,888.64 = 7,504/x
  3. Step 3: Cross multiply
    23,920x = 35,888.64 × 7,504
  4. Step 4: Simplify right side
    23,920x = 269,308,354.56
  5. Step 5: Solve for x
    x = 269,308,354.56/23,920
  6. Step 6: Final answer
    x = 11,258.71

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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.