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Finding the Fourth Proportional to 21,431.85, 29,575.10 and 12,000.21

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Solution

The fourth proportional to 21,431.85, 29,575.10 and 12,000.21 is: 16,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.85 : 29,575.10 = 12,000.21 : x
  2. Step 2: Convert to fraction form
    21,431.85/29,575.10 = 12,000.21/x
  3. Step 3: Cross multiply
    21,431.85x = 29,575.10 × 12,000.21
  4. Step 4: Simplify right side
    21,431.85x = 354,907,440.77
  5. Step 5: Solve for x
    x = 354,907,440.77/21,431.85
  6. Step 6: Final answer
    x = 16,559.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.