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Finding the Fourth Proportional to 23,710.68, 35,566.02 and 8,128.44

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Solution

The fourth proportional to 23,710.68, 35,566.02 and 8,128.44 is: 12,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.68 : 35,566.02 = 8,128.44 : x
  2. Step 2: Convert to fraction form
    23,710.68/35,566.02 = 8,128.44/x
  3. Step 3: Cross multiply
    23,710.68x = 35,566.02 × 8,128.44
  4. Step 4: Simplify right side
    23,710.68x = 289,096,259.61
  5. Step 5: Solve for x
    x = 289,096,259.61/23,710.68
  6. Step 6: Final answer
    x = 12,192.66

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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.