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Finding the Fourth Proportional to 23,712.46, 35,541.68 and 7,913.78

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Solution

The fourth proportional to 23,712.46, 35,541.68 and 7,913.78 is: 11,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.46 : 35,541.68 = 7,913.78 : x
  2. Step 2: Convert to fraction form
    23,712.46/35,541.68 = 7,913.78/x
  3. Step 3: Cross multiply
    23,712.46x = 35,541.68 × 7,913.78
  4. Step 4: Simplify right side
    23,712.46x = 281,269,036.35
  5. Step 5: Solve for x
    x = 281,269,036.35/23,712.46
  6. Step 6: Final answer
    x = 11,861.66

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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.