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Finding the Fourth Proportional to 14,499.42, 20,008.53 and 8,211.84

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Solution

The fourth proportional to 14,499.42, 20,008.53 and 8,211.84 is: 11,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499.42 : 20,008.53 = 8,211.84 : x
  2. Step 2: Convert to fraction form
    14,499.42/20,008.53 = 8,211.84/x
  3. Step 3: Cross multiply
    14,499.42x = 20,008.53 × 8,211.84
  4. Step 4: Simplify right side
    14,499.42x = 164,306,847.00
  5. Step 5: Solve for x
    x = 164,306,847.00/14,499.42
  6. Step 6: Final answer
    x = 11,331.96

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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.