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Finding the Fourth Proportional to 13,207.84, 19,800.86 and 6,184.44

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Solution

The fourth proportional to 13,207.84, 19,800.86 and 6,184.44 is: 9,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.84 : 19,800.86 = 6,184.44 : x
  2. Step 2: Convert to fraction form
    13,207.84/19,800.86 = 6,184.44/x
  3. Step 3: Cross multiply
    13,207.84x = 19,800.86 × 6,184.44
  4. Step 4: Simplify right side
    13,207.84x = 122,457,230.62
  5. Step 5: Solve for x
    x = 122,457,230.62/13,207.84
  6. Step 6: Final answer
    x = 9,271.56

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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.