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Finding the Fourth Proportional to 23,691, 35,536.50 and 7,275

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Solution

The fourth proportional to 23,691, 35,536.50 and 7,275 is: 10,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691 : 35,536.50 = 7,275 : x
  2. Step 2: Convert to fraction form
    23,691/35,536.50 = 7,275/x
  3. Step 3: Cross multiply
    23,691x = 35,536.50 × 7,275
  4. Step 4: Simplify right side
    23,691x = 258,528,037.50
  5. Step 5: Solve for x
    x = 258,528,037.50/23,691
  6. Step 6: Final answer
    x = 10,912.50

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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.