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Finding the Fourth Proportional to 23,772.52, 35,664.54 and 7,132.52

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Solution

The fourth proportional to 23,772.52, 35,664.54 and 7,132.52 is: 10,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.52 : 35,664.54 = 7,132.52 : x
  2. Step 2: Convert to fraction form
    23,772.52/35,664.54 = 7,132.52/x
  3. Step 3: Cross multiply
    23,772.52x = 35,664.54 × 7,132.52
  4. Step 4: Simplify right side
    23,772.52x = 254,378,044.84
  5. Step 5: Solve for x
    x = 254,378,044.84/23,772.52
  6. Step 6: Final answer
    x = 10,700.51

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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.