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Finding the Fourth Proportional to 20,312.86, 30,469.29 and 8,635.90

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Solution

The fourth proportional to 20,312.86, 30,469.29 and 8,635.90 is: 12,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.86 : 30,469.29 = 8,635.90 : x
  2. Step 2: Convert to fraction form
    20,312.86/30,469.29 = 8,635.90/x
  3. Step 3: Cross multiply
    20,312.86x = 30,469.29 × 8,635.90
  4. Step 4: Simplify right side
    20,312.86x = 263,129,741.51
  5. Step 5: Solve for x
    x = 263,129,741.51/20,312.86
  6. Step 6: Final answer
    x = 12,953.85

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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.