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Finding the Fourth Proportional to 13,424.34, 20,137.88 and 6,403.16

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Solution

The fourth proportional to 13,424.34, 20,137.88 and 6,403.16 is: 9,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.34 : 20,137.88 = 6,403.16 : x
  2. Step 2: Convert to fraction form
    13,424.34/20,137.88 = 6,403.16/x
  3. Step 3: Cross multiply
    13,424.34x = 20,137.88 × 6,403.16
  4. Step 4: Simplify right side
    13,424.34x = 128,946,067.70
  5. Step 5: Solve for x
    x = 128,946,067.70/13,424.34
  6. Step 6: Final answer
    x = 9,605.39

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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.