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Finding the Fourth Proportional to 13,394.57, 18,484.43 and 7,427.12

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Solution

The fourth proportional to 13,394.57, 18,484.43 and 7,427.12 is: 10,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.57 : 18,484.43 = 7,427.12 : x
  2. Step 2: Convert to fraction form
    13,394.57/18,484.43 = 7,427.12/x
  3. Step 3: Cross multiply
    13,394.57x = 18,484.43 × 7,427.12
  4. Step 4: Simplify right side
    13,394.57x = 137,285,950.18
  5. Step 5: Solve for x
    x = 137,285,950.18/13,394.57
  6. Step 6: Final answer
    x = 10,249.38

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Why These Related Problems?

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