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Finding the Fourth Proportional to 24,321.72, 33,563.73 and 13,714.77

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Solution

The fourth proportional to 24,321.72, 33,563.73 and 13,714.77 is: 18,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.72 : 33,563.73 = 13,714.77 : x
  2. Step 2: Convert to fraction form
    24,321.72/33,563.73 = 13,714.77/x
  3. Step 3: Cross multiply
    24,321.72x = 33,563.73 × 13,714.77
  4. Step 4: Simplify right side
    24,321.72x = 460,318,837.29
  5. Step 5: Solve for x
    x = 460,318,837.29/24,321.72
  6. Step 6: Final answer
    x = 18,926.25

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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.