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Finding the Fourth Proportional to 13,137.81, 19,707.93 and 5,238.42

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Solution

The fourth proportional to 13,137.81, 19,707.93 and 5,238.42 is: 7,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.81 : 19,707.93 = 5,238.42 : x
  2. Step 2: Convert to fraction form
    13,137.81/19,707.93 = 5,238.42/x
  3. Step 3: Cross multiply
    13,137.81x = 19,707.93 × 5,238.42
  4. Step 4: Simplify right side
    13,137.81x = 103,238,414.67
  5. Step 5: Solve for x
    x = 103,238,414.67/13,137.81
  6. Step 6: Final answer
    x = 7,858.11

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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.