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Finding the Fourth Proportional to 19,634.16, 29,447.04 and 6,483.42

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Solution

The fourth proportional to 19,634.16, 29,447.04 and 6,483.42 is: 9,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.16 : 29,447.04 = 6,483.42 : x
  2. Step 2: Convert to fraction form
    19,634.16/29,447.04 = 6,483.42/x
  3. Step 3: Cross multiply
    19,634.16x = 29,447.04 × 6,483.42
  4. Step 4: Simplify right side
    19,634.16x = 190,917,528.08
  5. Step 5: Solve for x
    x = 190,917,528.08/19,634.16
  6. Step 6: Final answer
    x = 9,723.74

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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.