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Finding the Fourth Proportional to 19,746, 29,623.86 and 5,895

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Solution

The fourth proportional to 19,746, 29,623.86 and 5,895 is: 8,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 29,623.86 = 5,895 : x
  2. Step 2: Convert to fraction form
    19,746/29,623.86 = 5,895/x
  3. Step 3: Cross multiply
    19,746x = 29,623.86 × 5,895
  4. Step 4: Simplify right side
    19,746x = 174,632,654.70
  5. Step 5: Solve for x
    x = 174,632,654.70/19,746
  6. Step 6: Final answer
    x = 8,843.95

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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.