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Finding the Fourth Proportional to 13,262.77, 19,894.14 and 6,238.39

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Solution

The fourth proportional to 13,262.77, 19,894.14 and 6,238.39 is: 9,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.77 : 19,894.14 = 6,238.39 : x
  2. Step 2: Convert to fraction form
    13,262.77/19,894.14 = 6,238.39/x
  3. Step 3: Cross multiply
    13,262.77x = 19,894.14 × 6,238.39
  4. Step 4: Simplify right side
    13,262.77x = 124,107,404.03
  5. Step 5: Solve for x
    x = 124,107,404.03/13,262.77
  6. Step 6: Final answer
    x = 9,357.58

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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.