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Finding the Fourth Proportional to 23,704.34, 32,714.43 and 13,633.16

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Solution

The fourth proportional to 23,704.34, 32,714.43 and 13,633.16 is: 18,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.34 : 32,714.43 = 13,633.16 : x
  2. Step 2: Convert to fraction form
    23,704.34/32,714.43 = 13,633.16/x
  3. Step 3: Cross multiply
    23,704.34x = 32,714.43 × 13,633.16
  4. Step 4: Simplify right side
    23,704.34x = 446,001,058.50
  5. Step 5: Solve for x
    x = 446,001,058.50/23,704.34
  6. Step 6: Final answer
    x = 18,815.16

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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.