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Finding the Fourth Proportional to 21,676.81, 32,512.85 and 14,701.63

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Solution

The fourth proportional to 21,676.81, 32,512.85 and 14,701.63 is: 22,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.81 : 32,512.85 = 14,701.63 : x
  2. Step 2: Convert to fraction form
    21,676.81/32,512.85 = 14,701.63/x
  3. Step 3: Cross multiply
    21,676.81x = 32,512.85 × 14,701.63
  4. Step 4: Simplify right side
    21,676.81x = 477,991,890.95
  5. Step 5: Solve for x
    x = 477,991,890.95/21,676.81
  6. Step 6: Final answer
    x = 22,050.84

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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.