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Finding the Fourth Proportional to 23,530.76, 35,300.46 and 7,736.68

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Solution

The fourth proportional to 23,530.76, 35,300.46 and 7,736.68 is: 11,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.76 : 35,300.46 = 7,736.68 : x
  2. Step 2: Convert to fraction form
    23,530.76/35,300.46 = 7,736.68/x
  3. Step 3: Cross multiply
    23,530.76x = 35,300.46 × 7,736.68
  4. Step 4: Simplify right side
    23,530.76x = 273,108,186.37
  5. Step 5: Solve for x
    x = 273,108,186.37/23,530.76
  6. Step 6: Final answer
    x = 11,606.44

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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.