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Finding the Fourth Proportional to 21,714.42, 32,544.81 and 12,362.16

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Solution

The fourth proportional to 21,714.42, 32,544.81 and 12,362.16 is: 18,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.42 : 32,544.81 = 12,362.16 : x
  2. Step 2: Convert to fraction form
    21,714.42/32,544.81 = 12,362.16/x
  3. Step 3: Cross multiply
    21,714.42x = 32,544.81 × 12,362.16
  4. Step 4: Simplify right side
    21,714.42x = 402,324,148.39
  5. Step 5: Solve for x
    x = 402,324,148.39/21,714.42
  6. Step 6: Final answer
    x = 18,527.97

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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.