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Finding the Fourth Proportional to 21,333.72, 32,028.30 and 16,406.85

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Solution

The fourth proportional to 21,333.72, 32,028.30 and 16,406.85 is: 24,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.72 : 32,028.30 = 16,406.85 : x
  2. Step 2: Convert to fraction form
    21,333.72/32,028.30 = 16,406.85/x
  3. Step 3: Cross multiply
    21,333.72x = 32,028.30 × 16,406.85
  4. Step 4: Simplify right side
    21,333.72x = 525,483,513.86
  5. Step 5: Solve for x
    x = 525,483,513.86/21,333.72
  6. Step 6: Final answer
    x = 24,631.59

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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.