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Finding the Fourth Proportional to 14,135.01, 21,191.52 and 8,202.77

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Solution

The fourth proportional to 14,135.01, 21,191.52 and 8,202.77 is: 12,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.01 : 21,191.52 = 8,202.77 : x
  2. Step 2: Convert to fraction form
    14,135.01/21,191.52 = 8,202.77/x
  3. Step 3: Cross multiply
    14,135.01x = 21,191.52 × 8,202.77
  4. Step 4: Simplify right side
    14,135.01x = 173,829,168.78
  5. Step 5: Solve for x
    x = 173,829,168.78/14,135.01
  6. Step 6: Final answer
    x = 12,297.78

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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.