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Finding the Fourth Proportional to 23,700.34, 35,552.89 and 6,833.77

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Solution

The fourth proportional to 23,700.34, 35,552.89 and 6,833.77 is: 10,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.34 : 35,552.89 = 6,833.77 : x
  2. Step 2: Convert to fraction form
    23,700.34/35,552.89 = 6,833.77/x
  3. Step 3: Cross multiply
    23,700.34x = 35,552.89 × 6,833.77
  4. Step 4: Simplify right side
    23,700.34x = 242,960,163.93
  5. Step 5: Solve for x
    x = 242,960,163.93/23,700.34
  6. Step 6: Final answer
    x = 10,251.34

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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.