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Finding the Fourth Proportional to 23,134.80, 34,697 and 10,642.83

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Solution

The fourth proportional to 23,134.80, 34,697 and 10,642.83 is: 15,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.80 : 34,697 = 10,642.83 : x
  2. Step 2: Convert to fraction form
    23,134.80/34,697 = 10,642.83/x
  3. Step 3: Cross multiply
    23,134.80x = 34,697 × 10,642.83
  4. Step 4: Simplify right side
    23,134.80x = 369,274,272.51
  5. Step 5: Solve for x
    x = 369,274,272.51/23,134.80
  6. Step 6: Final answer
    x = 15,961.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.