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Finding the Fourth Proportional to 13,436.49, 20,154.73 and 4,202.49

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Solution

The fourth proportional to 13,436.49, 20,154.73 and 4,202.49 is: 6,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.49 : 20,154.73 = 4,202.49 : x
  2. Step 2: Convert to fraction form
    13,436.49/20,154.73 = 4,202.49/x
  3. Step 3: Cross multiply
    13,436.49x = 20,154.73 × 4,202.49
  4. Step 4: Simplify right side
    13,436.49x = 84,700,051.28
  5. Step 5: Solve for x
    x = 84,700,051.28/13,436.49
  6. Step 6: Final answer
    x = 6,303.73

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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.