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Finding the Fourth Proportional to 22,078.19, 33,131.88 and 13,186.98

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Solution

The fourth proportional to 22,078.19, 33,131.88 and 13,186.98 is: 19,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.19 : 33,131.88 = 13,186.98 : x
  2. Step 2: Convert to fraction form
    22,078.19/33,131.88 = 13,186.98/x
  3. Step 3: Cross multiply
    22,078.19x = 33,131.88 × 13,186.98
  4. Step 4: Simplify right side
    22,078.19x = 436,909,438.92
  5. Step 5: Solve for x
    x = 436,909,438.92/22,078.19
  6. Step 6: Final answer
    x = 19,789.19

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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.