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Finding the Fourth Proportional to 23,584, 35,381.76 and 7,168

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Solution

The fourth proportional to 23,584, 35,381.76 and 7,168 is: 10,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584 : 35,381.76 = 7,168 : x
  2. Step 2: Convert to fraction form
    23,584/35,381.76 = 7,168/x
  3. Step 3: Cross multiply
    23,584x = 35,381.76 × 7,168
  4. Step 4: Simplify right side
    23,584x = 253,616,455.68
  5. Step 5: Solve for x
    x = 253,616,455.68/23,584
  6. Step 6: Final answer
    x = 10,753.75

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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.