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Finding the Fourth Proportional to 14,704.12, 20,294.58 and 8,420.68

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Solution

The fourth proportional to 14,704.12, 20,294.58 and 8,420.68 is: 11,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.12 : 20,294.58 = 8,420.68 : x
  2. Step 2: Convert to fraction form
    14,704.12/20,294.58 = 8,420.68/x
  3. Step 3: Cross multiply
    14,704.12x = 20,294.58 × 8,420.68
  4. Step 4: Simplify right side
    14,704.12x = 170,894,163.91
  5. Step 5: Solve for x
    x = 170,894,163.91/14,704.12
  6. Step 6: Final answer
    x = 11,622.20

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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.