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Finding the Fourth Proportional to 13,405.50, 18,499.61 and 7,817.58

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Solution

The fourth proportional to 13,405.50, 18,499.61 and 7,817.58 is: 10,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.50 : 18,499.61 = 7,817.58 : x
  2. Step 2: Convert to fraction form
    13,405.50/18,499.61 = 7,817.58/x
  3. Step 3: Cross multiply
    13,405.50x = 18,499.61 × 7,817.58
  4. Step 4: Simplify right side
    13,405.50x = 144,622,142.06
  5. Step 5: Solve for x
    x = 144,622,142.06/13,405.50
  6. Step 6: Final answer
    x = 10,788.27

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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.