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Finding the Fourth Proportional to 13,137.90, 19,703.37 and 5,240.10

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Solution

The fourth proportional to 13,137.90, 19,703.37 and 5,240.10 is: 7,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.90 : 19,703.37 = 5,240.10 : x
  2. Step 2: Convert to fraction form
    13,137.90/19,703.37 = 5,240.10/x
  3. Step 3: Cross multiply
    13,137.90x = 19,703.37 × 5,240.10
  4. Step 4: Simplify right side
    13,137.90x = 103,247,629.14
  5. Step 5: Solve for x
    x = 103,247,629.14/13,137.90
  6. Step 6: Final answer
    x = 7,858.76

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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.