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Finding the Fourth Proportional to 19,902.96, 29,855.52 and 6,575.40

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Solution

The fourth proportional to 19,902.96, 29,855.52 and 6,575.40 is: 9,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.96 : 29,855.52 = 6,575.40 : x
  2. Step 2: Convert to fraction form
    19,902.96/29,855.52 = 6,575.40/x
  3. Step 3: Cross multiply
    19,902.96x = 29,855.52 × 6,575.40
  4. Step 4: Simplify right side
    19,902.96x = 196,311,986.21
  5. Step 5: Solve for x
    x = 196,311,986.21/19,902.96
  6. Step 6: Final answer
    x = 9,863.46

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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.