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Finding the Fourth Proportional to 21,361.42, 32,022.60 and 9,508.96

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Solution

The fourth proportional to 21,361.42, 32,022.60 and 9,508.96 is: 14,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.42 : 32,022.60 = 9,508.96 : x
  2. Step 2: Convert to fraction form
    21,361.42/32,022.60 = 9,508.96/x
  3. Step 3: Cross multiply
    21,361.42x = 32,022.60 × 9,508.96
  4. Step 4: Simplify right side
    21,361.42x = 304,501,622.50
  5. Step 5: Solve for x
    x = 304,501,622.50/21,361.42
  6. Step 6: Final answer
    x = 14,254.75

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Why These Related Problems?

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