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Finding the Fourth Proportional to 13,424.16, 18,519.12 and 8,385.12

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Solution

The fourth proportional to 13,424.16, 18,519.12 and 8,385.12 is: 11,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.16 : 18,519.12 = 8,385.12 : x
  2. Step 2: Convert to fraction form
    13,424.16/18,519.12 = 8,385.12/x
  3. Step 3: Cross multiply
    13,424.16x = 18,519.12 × 8,385.12
  4. Step 4: Simplify right side
    13,424.16x = 155,285,043.49
  5. Step 5: Solve for x
    x = 155,285,043.49/13,424.16
  6. Step 6: Final answer
    x = 11,567.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.