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Finding the Fourth Proportional to 23,753.14, 35,630.85 and 6,222.98

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Solution

The fourth proportional to 23,753.14, 35,630.85 and 6,222.98 is: 9,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.14 : 35,630.85 = 6,222.98 : x
  2. Step 2: Convert to fraction form
    23,753.14/35,630.85 = 6,222.98/x
  3. Step 3: Cross multiply
    23,753.14x = 35,630.85 × 6,222.98
  4. Step 4: Simplify right side
    23,753.14x = 221,730,179.35
  5. Step 5: Solve for x
    x = 221,730,179.35/23,753.14
  6. Step 6: Final answer
    x = 9,334.77

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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.