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Finding the Fourth Proportional to 19,585.98, 29,380.86 and 6,435.18

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Solution

The fourth proportional to 19,585.98, 29,380.86 and 6,435.18 is: 9,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.98 : 29,380.86 = 6,435.18 : x
  2. Step 2: Convert to fraction form
    19,585.98/29,380.86 = 6,435.18/x
  3. Step 3: Cross multiply
    19,585.98x = 29,380.86 × 6,435.18
  4. Step 4: Simplify right side
    19,585.98x = 189,071,122.65
  5. Step 5: Solve for x
    x = 189,071,122.65/19,585.98
  6. Step 6: Final answer
    x = 9,653.39

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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.