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Finding the Fourth Proportional to 13,142.98, 18,137.74 and 7,477.59

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Solution

The fourth proportional to 13,142.98, 18,137.74 and 7,477.59 is: 10,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.98 : 18,137.74 = 7,477.59 : x
  2. Step 2: Convert to fraction form
    13,142.98/18,137.74 = 7,477.59/x
  3. Step 3: Cross multiply
    13,142.98x = 18,137.74 × 7,477.59
  4. Step 4: Simplify right side
    13,142.98x = 135,626,544.56
  5. Step 5: Solve for x
    x = 135,626,544.56/13,142.98
  6. Step 6: Final answer
    x = 10,319.31

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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.