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Finding the Fourth Proportional to 21,617.64, 32,327.64 and 15,714.36

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Solution

The fourth proportional to 21,617.64, 32,327.64 and 15,714.36 is: 23,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.64 : 32,327.64 = 15,714.36 : x
  2. Step 2: Convert to fraction form
    21,617.64/32,327.64 = 15,714.36/x
  3. Step 3: Cross multiply
    21,617.64x = 32,327.64 × 15,714.36
  4. Step 4: Simplify right side
    21,617.64x = 508,008,172.91
  5. Step 5: Solve for x
    x = 508,008,172.91/21,617.64
  6. Step 6: Final answer
    x = 23,499.71

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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.