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Finding the Fourth Proportional to 13,473.58, 20,183.58 and 10,538.14

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Solution

The fourth proportional to 13,473.58, 20,183.58 and 10,538.14 is: 15,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.58 : 20,183.58 = 10,538.14 : x
  2. Step 2: Convert to fraction form
    13,473.58/20,183.58 = 10,538.14/x
  3. Step 3: Cross multiply
    13,473.58x = 20,183.58 × 10,538.14
  4. Step 4: Simplify right side
    13,473.58x = 212,697,391.74
  5. Step 5: Solve for x
    x = 212,697,391.74/13,473.58
  6. Step 6: Final answer
    x = 15,786.26

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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.