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Finding the Fourth Proportional to 13,536.96, 20,303.11 and 3,677.03

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Solution

The fourth proportional to 13,536.96, 20,303.11 and 3,677.03 is: 5,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.96 : 20,303.11 = 3,677.03 : x
  2. Step 2: Convert to fraction form
    13,536.96/20,303.11 = 3,677.03/x
  3. Step 3: Cross multiply
    13,536.96x = 20,303.11 × 3,677.03
  4. Step 4: Simplify right side
    13,536.96x = 74,655,126.18
  5. Step 5: Solve for x
    x = 74,655,126.18/13,536.96
  6. Step 6: Final answer
    x = 5,514.91

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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.