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Finding the Fourth Proportional to 13,194.26, 19,803.03 and 6,178.04

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Solution

The fourth proportional to 13,194.26, 19,803.03 and 6,178.04 is: 9,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.26 : 19,803.03 = 6,178.04 : x
  2. Step 2: Convert to fraction form
    13,194.26/19,803.03 = 6,178.04/x
  3. Step 3: Cross multiply
    13,194.26x = 19,803.03 × 6,178.04
  4. Step 4: Simplify right side
    13,194.26x = 122,343,812.45
  5. Step 5: Solve for x
    x = 122,343,812.45/13,194.26
  6. Step 6: Final answer
    x = 9,272.51

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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.