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Finding the Fourth Proportional to 21,524.05, 32,280.94 and 9,044.31

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Solution

The fourth proportional to 21,524.05, 32,280.94 and 9,044.31 is: 13,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.05 : 32,280.94 = 9,044.31 : x
  2. Step 2: Convert to fraction form
    21,524.05/32,280.94 = 9,044.31/x
  3. Step 3: Cross multiply
    21,524.05x = 32,280.94 × 9,044.31
  4. Step 4: Simplify right side
    21,524.05x = 291,958,783.23
  5. Step 5: Solve for x
    x = 291,958,783.23/21,524.05
  6. Step 6: Final answer
    x = 13,564.31

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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.