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Finding the Fourth Proportional to 17,083.68, 25,596.36 and 9,278.52

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Solution

The fourth proportional to 17,083.68, 25,596.36 and 9,278.52 is: 13,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.68 : 25,596.36 = 9,278.52 : x
  2. Step 2: Convert to fraction form
    17,083.68/25,596.36 = 9,278.52/x
  3. Step 3: Cross multiply
    17,083.68x = 25,596.36 × 9,278.52
  4. Step 4: Simplify right side
    17,083.68x = 237,496,338.19
  5. Step 5: Solve for x
    x = 237,496,338.19/17,083.68
  6. Step 6: Final answer
    x = 13,901.94

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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.