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Finding the Fourth Proportional to 21,714.48, 32,626.17 and 13,820.40

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Solution

The fourth proportional to 21,714.48, 32,626.17 and 13,820.40 is: 20,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.48 : 32,626.17 = 13,820.40 : x
  2. Step 2: Convert to fraction form
    21,714.48/32,626.17 = 13,820.40/x
  3. Step 3: Cross multiply
    21,714.48x = 32,626.17 × 13,820.40
  4. Step 4: Simplify right side
    21,714.48x = 450,906,719.87
  5. Step 5: Solve for x
    x = 450,906,719.87/21,714.48
  6. Step 6: Final answer
    x = 20,765.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.