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Finding the Fourth Proportional to 19,348.54, 29,023.44 and 6,199.20

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Solution

The fourth proportional to 19,348.54, 29,023.44 and 6,199.20 is: 9,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348.54 : 29,023.44 = 6,199.20 : x
  2. Step 2: Convert to fraction form
    19,348.54/29,023.44 = 6,199.20/x
  3. Step 3: Cross multiply
    19,348.54x = 29,023.44 × 6,199.20
  4. Step 4: Simplify right side
    19,348.54x = 179,922,109.25
  5. Step 5: Solve for x
    x = 179,922,109.25/19,348.54
  6. Step 6: Final answer
    x = 9,299.00

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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.