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Finding the Fourth Proportional to 19,596.69, 29,391.96 and 6,448.95

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Solution

The fourth proportional to 19,596.69, 29,391.96 and 6,448.95 is: 9,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596.69 : 29,391.96 = 6,448.95 : x
  2. Step 2: Convert to fraction form
    19,596.69/29,391.96 = 6,448.95/x
  3. Step 3: Cross multiply
    19,596.69x = 29,391.96 × 6,448.95
  4. Step 4: Simplify right side
    19,596.69x = 189,547,280.44
  5. Step 5: Solve for x
    x = 189,547,280.44/19,596.69
  6. Step 6: Final answer
    x = 9,672.41

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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.