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Finding the Fourth Proportional to 13,199.19, 19,805.01 and 6,170.64

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Solution

The fourth proportional to 13,199.19, 19,805.01 and 6,170.64 is: 9,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.19 : 19,805.01 = 6,170.64 : x
  2. Step 2: Convert to fraction form
    13,199.19/19,805.01 = 6,170.64/x
  3. Step 3: Cross multiply
    13,199.19x = 19,805.01 × 6,170.64
  4. Step 4: Simplify right side
    13,199.19x = 122,209,586.91
  5. Step 5: Solve for x
    x = 122,209,586.91/13,199.19
  6. Step 6: Final answer
    x = 9,258.87

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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.