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Finding the Fourth Proportional to 13,529.82, 20,261.93 and 9,358.12

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Solution

The fourth proportional to 13,529.82, 20,261.93 and 9,358.12 is: 14,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.82 : 20,261.93 = 9,358.12 : x
  2. Step 2: Convert to fraction form
    13,529.82/20,261.93 = 9,358.12/x
  3. Step 3: Cross multiply
    13,529.82x = 20,261.93 × 9,358.12
  4. Step 4: Simplify right side
    13,529.82x = 189,613,525.58
  5. Step 5: Solve for x
    x = 189,613,525.58/13,529.82
  6. Step 6: Final answer
    x = 14,014.49

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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.