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Finding the Fourth Proportional to 23,511.70, 32,446.19 and 12,901.42

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Solution

The fourth proportional to 23,511.70, 32,446.19 and 12,901.42 is: 17,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.70 : 32,446.19 = 12,901.42 : x
  2. Step 2: Convert to fraction form
    23,511.70/32,446.19 = 12,901.42/x
  3. Step 3: Cross multiply
    23,511.70x = 32,446.19 × 12,901.42
  4. Step 4: Simplify right side
    23,511.70x = 418,601,697.85
  5. Step 5: Solve for x
    x = 418,601,697.85/23,511.70
  6. Step 6: Final answer
    x = 17,803.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.