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Finding the Fourth Proportional to 19,862.32, 29,748.11 and 9,481.36

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Solution

The fourth proportional to 19,862.32, 29,748.11 and 9,481.36 is: 14,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.32 : 29,748.11 = 9,481.36 : x
  2. Step 2: Convert to fraction form
    19,862.32/29,748.11 = 9,481.36/x
  3. Step 3: Cross multiply
    19,862.32x = 29,748.11 × 9,481.36
  4. Step 4: Simplify right side
    19,862.32x = 282,052,540.23
  5. Step 5: Solve for x
    x = 282,052,540.23/19,862.32
  6. Step 6: Final answer
    x = 14,200.38

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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.