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Finding the Fourth Proportional to 13,536.68, 20,305.02 and 7,299.63

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Solution

The fourth proportional to 13,536.68, 20,305.02 and 7,299.63 is: 10,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.68 : 20,305.02 = 7,299.63 : x
  2. Step 2: Convert to fraction form
    13,536.68/20,305.02 = 7,299.63/x
  3. Step 3: Cross multiply
    13,536.68x = 20,305.02 × 7,299.63
  4. Step 4: Simplify right side
    13,536.68x = 148,219,133.14
  5. Step 5: Solve for x
    x = 148,219,133.14/13,536.68
  6. Step 6: Final answer
    x = 10,949.45

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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.