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Finding the Fourth Proportional to 23,543.46, 35,311.31 and 7,748.70

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Solution

The fourth proportional to 23,543.46, 35,311.31 and 7,748.70 is: 11,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.46 : 35,311.31 = 7,748.70 : x
  2. Step 2: Convert to fraction form
    23,543.46/35,311.31 = 7,748.70/x
  3. Step 3: Cross multiply
    23,543.46x = 35,311.31 × 7,748.70
  4. Step 4: Simplify right side
    23,543.46x = 273,616,605.69
  5. Step 5: Solve for x
    x = 273,616,605.69/23,543.46
  6. Step 6: Final answer
    x = 11,621.77

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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.