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Finding the Fourth Proportional to 23,446.46, 32,354.84 and 12,834.05

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Solution

The fourth proportional to 23,446.46, 32,354.84 and 12,834.05 is: 17,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.46 : 32,354.84 = 12,834.05 : x
  2. Step 2: Convert to fraction form
    23,446.46/32,354.84 = 12,834.05/x
  3. Step 3: Cross multiply
    23,446.46x = 32,354.84 × 12,834.05
  4. Step 4: Simplify right side
    23,446.46x = 415,243,504.61
  5. Step 5: Solve for x
    x = 415,243,504.61/23,446.46
  6. Step 6: Final answer
    x = 17,710.28

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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.