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Finding the Fourth Proportional to 17,135.47, 25,705.32 and 8,363.75

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Solution

The fourth proportional to 17,135.47, 25,705.32 and 8,363.75 is: 12,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.47 : 25,705.32 = 8,363.75 : x
  2. Step 2: Convert to fraction form
    17,135.47/25,705.32 = 8,363.75/x
  3. Step 3: Cross multiply
    17,135.47x = 25,705.32 × 8,363.75
  4. Step 4: Simplify right side
    17,135.47x = 214,992,828.33
  5. Step 5: Solve for x
    x = 214,992,828.33/17,135.47
  6. Step 6: Final answer
    x = 12,546.66

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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.