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Finding the Fourth Proportional to 17,256.41, 25,838.49 and 9,850.68

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Solution

The fourth proportional to 17,256.41, 25,838.49 and 9,850.68 is: 14,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256.41 : 25,838.49 = 9,850.68 : x
  2. Step 2: Convert to fraction form
    17,256.41/25,838.49 = 9,850.68/x
  3. Step 3: Cross multiply
    17,256.41x = 25,838.49 × 9,850.68
  4. Step 4: Simplify right side
    17,256.41x = 254,526,647.42
  5. Step 5: Solve for x
    x = 254,526,647.42/17,256.41
  6. Step 6: Final answer
    x = 14,749.69

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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.