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Finding the Fourth Proportional to 19,634.32, 29,451.72 and 6,994.12

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Solution

The fourth proportional to 19,634.32, 29,451.72 and 6,994.12 is: 10,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.32 : 29,451.72 = 6,994.12 : x
  2. Step 2: Convert to fraction form
    19,634.32/29,451.72 = 6,994.12/x
  3. Step 3: Cross multiply
    19,634.32x = 29,451.72 × 6,994.12
  4. Step 4: Simplify right side
    19,634.32x = 205,988,863.89
  5. Step 5: Solve for x
    x = 205,988,863.89/19,634.32
  6. Step 6: Final answer
    x = 10,491.27

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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.