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Finding the Fourth Proportional to 14,198.81, 19,597.28 and 9,419.04

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Solution

The fourth proportional to 14,198.81, 19,597.28 and 9,419.04 is: 13,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.81 : 19,597.28 = 9,419.04 : x
  2. Step 2: Convert to fraction form
    14,198.81/19,597.28 = 9,419.04/x
  3. Step 3: Cross multiply
    14,198.81x = 19,597.28 × 9,419.04
  4. Step 4: Simplify right side
    14,198.81x = 184,587,517.12
  5. Step 5: Solve for x
    x = 184,587,517.12/14,198.81
  6. Step 6: Final answer
    x = 13,000.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.