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Finding the Fourth Proportional to 13,243.68, 18,265.64 and 11,646.90

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Solution

The fourth proportional to 13,243.68, 18,265.64 and 11,646.90 is: 16,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.68 : 18,265.64 = 11,646.90 : x
  2. Step 2: Convert to fraction form
    13,243.68/18,265.64 = 11,646.90/x
  3. Step 3: Cross multiply
    13,243.68x = 18,265.64 × 11,646.90
  4. Step 4: Simplify right side
    13,243.68x = 212,738,024.28
  5. Step 5: Solve for x
    x = 212,738,024.28/13,243.68
  6. Step 6: Final answer
    x = 16,063.36

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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.