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Finding the Fourth Proportional to 13,194.40, 18,193.68 and 9,004.96

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Solution

The fourth proportional to 13,194.40, 18,193.68 and 9,004.96 is: 12,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.40 : 18,193.68 = 9,004.96 : x
  2. Step 2: Convert to fraction form
    13,194.40/18,193.68 = 9,004.96/x
  3. Step 3: Cross multiply
    13,194.40x = 18,193.68 × 9,004.96
  4. Step 4: Simplify right side
    13,194.40x = 163,833,360.65
  5. Step 5: Solve for x
    x = 163,833,360.65/13,194.40
  6. Step 6: Final answer
    x = 12,416.89

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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.