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Finding the Fourth Proportional to 14,773.30, 22,172.91 and 8,206.90

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Solution

The fourth proportional to 14,773.30, 22,172.91 and 8,206.90 is: 12,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.30 : 22,172.91 = 8,206.90 : x
  2. Step 2: Convert to fraction form
    14,773.30/22,172.91 = 8,206.90/x
  3. Step 3: Cross multiply
    14,773.30x = 22,172.91 × 8,206.90
  4. Step 4: Simplify right side
    14,773.30x = 181,970,855.08
  5. Step 5: Solve for x
    x = 181,970,855.08/14,773.30
  6. Step 6: Final answer
    x = 12,317.55

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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.