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Finding the Fourth Proportional to 13,816.98, 20,709.27 and 9,365.22

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Solution

The fourth proportional to 13,816.98, 20,709.27 and 9,365.22 is: 14,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.98 : 20,709.27 = 9,365.22 : x
  2. Step 2: Convert to fraction form
    13,816.98/20,709.27 = 9,365.22/x
  3. Step 3: Cross multiply
    13,816.98x = 20,709.27 × 9,365.22
  4. Step 4: Simplify right side
    13,816.98x = 193,946,869.59
  5. Step 5: Solve for x
    x = 193,946,869.59/13,816.98
  6. Step 6: Final answer
    x = 14,036.85

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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.