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Finding the Fourth Proportional to 23,562.46, 35,280.57 and 12,446.14

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Solution

The fourth proportional to 23,562.46, 35,280.57 and 12,446.14 is: 18,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.46 : 35,280.57 = 12,446.14 : x
  2. Step 2: Convert to fraction form
    23,562.46/35,280.57 = 12,446.14/x
  3. Step 3: Cross multiply
    23,562.46x = 35,280.57 × 12,446.14
  4. Step 4: Simplify right side
    23,562.46x = 439,106,913.50
  5. Step 5: Solve for x
    x = 439,106,913.50/23,562.46
  6. Step 6: Final answer
    x = 18,635.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.