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Finding the Fourth Proportional to 13,464.44, 20,166.59 and 9,758.16

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Solution

The fourth proportional to 13,464.44, 20,166.59 and 9,758.16 is: 14,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.44 : 20,166.59 = 9,758.16 : x
  2. Step 2: Convert to fraction form
    13,464.44/20,166.59 = 9,758.16/x
  3. Step 3: Cross multiply
    13,464.44x = 20,166.59 × 9,758.16
  4. Step 4: Simplify right side
    13,464.44x = 196,788,811.87
  5. Step 5: Solve for x
    x = 196,788,811.87/13,464.44
  6. Step 6: Final answer
    x = 14,615.45

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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.