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Finding the Fourth Proportional to 23,706.45, 32,714.82 and 13,634.42

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Solution

The fourth proportional to 23,706.45, 32,714.82 and 13,634.42 is: 18,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.45 : 32,714.82 = 13,634.42 : x
  2. Step 2: Convert to fraction form
    23,706.45/32,714.82 = 13,634.42/x
  3. Step 3: Cross multiply
    23,706.45x = 32,714.82 × 13,634.42
  4. Step 4: Simplify right side
    23,706.45x = 446,047,432.53
  5. Step 5: Solve for x
    x = 446,047,432.53/23,706.45
  6. Step 6: Final answer
    x = 18,815.45

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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.