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Finding the Fourth Proportional to 24,321.90, 33,562.20 and 13,714.14

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Solution

The fourth proportional to 24,321.90, 33,562.20 and 13,714.14 is: 18,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.90 : 33,562.20 = 13,714.14 : x
  2. Step 2: Convert to fraction form
    24,321.90/33,562.20 = 13,714.14/x
  3. Step 3: Cross multiply
    24,321.90x = 33,562.20 × 13,714.14
  4. Step 4: Simplify right side
    24,321.90x = 460,276,709.51
  5. Step 5: Solve for x
    x = 460,276,709.51/24,321.90
  6. Step 6: Final answer
    x = 18,924.37

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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.