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Finding the Fourth Proportional to 19,858.20, 29,741.94 and 9,477.24

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Solution

The fourth proportional to 19,858.20, 29,741.94 and 9,477.24 is: 14,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.20 : 29,741.94 = 9,477.24 : x
  2. Step 2: Convert to fraction form
    19,858.20/29,741.94 = 9,477.24/x
  3. Step 3: Cross multiply
    19,858.20x = 29,741.94 × 9,477.24
  4. Step 4: Simplify right side
    19,858.20x = 281,871,456.06
  5. Step 5: Solve for x
    x = 281,871,456.06/19,858.20
  6. Step 6: Final answer
    x = 14,194.21

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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.