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Finding the Fourth Proportional to 13,813.22, 19,078.08 and 9,118.46

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Solution

The fourth proportional to 13,813.22, 19,078.08 and 9,118.46 is: 12,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.22 : 19,078.08 = 9,118.46 : x
  2. Step 2: Convert to fraction form
    13,813.22/19,078.08 = 9,118.46/x
  3. Step 3: Cross multiply
    13,813.22x = 19,078.08 × 9,118.46
  4. Step 4: Simplify right side
    13,813.22x = 173,962,709.36
  5. Step 5: Solve for x
    x = 173,962,709.36/13,813.22
  6. Step 6: Final answer
    x = 12,593.93

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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.