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Finding the Fourth Proportional to 19,473.57, 29,206.25 and 6,994.30

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Solution

The fourth proportional to 19,473.57, 29,206.25 and 6,994.30 is: 10,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.57 : 29,206.25 = 6,994.30 : x
  2. Step 2: Convert to fraction form
    19,473.57/29,206.25 = 6,994.30/x
  3. Step 3: Cross multiply
    19,473.57x = 29,206.25 × 6,994.30
  4. Step 4: Simplify right side
    19,473.57x = 204,277,274.38
  5. Step 5: Solve for x
    x = 204,277,274.38/19,473.57
  6. Step 6: Final answer
    x = 10,489.98

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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.