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Finding the Fourth Proportional to 13,203.72, 19,812.10 and 6,184.22

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Solution

The fourth proportional to 13,203.72, 19,812.10 and 6,184.22 is: 9,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.72 : 19,812.10 = 6,184.22 : x
  2. Step 2: Convert to fraction form
    13,203.72/19,812.10 = 6,184.22/x
  3. Step 3: Cross multiply
    13,203.72x = 19,812.10 × 6,184.22
  4. Step 4: Simplify right side
    13,203.72x = 122,522,385.06
  5. Step 5: Solve for x
    x = 122,522,385.06/13,203.72
  6. Step 6: Final answer
    x = 9,279.38

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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.