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Finding the Fourth Proportional to 13,884.99, 19,156.70 and 8,221.62

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Solution

The fourth proportional to 13,884.99, 19,156.70 and 8,221.62 is: 11,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.99 : 19,156.70 = 8,221.62 : x
  2. Step 2: Convert to fraction form
    13,884.99/19,156.70 = 8,221.62/x
  3. Step 3: Cross multiply
    13,884.99x = 19,156.70 × 8,221.62
  4. Step 4: Simplify right side
    13,884.99x = 157,499,066.75
  5. Step 5: Solve for x
    x = 157,499,066.75/13,884.99
  6. Step 6: Final answer
    x = 11,343.12

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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.