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Finding the Fourth Proportional to 17,492.25, 26,247.42 and 6,960

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Solution

The fourth proportional to 17,492.25, 26,247.42 and 6,960 is: 10,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492.25 : 26,247.42 = 6,960 : x
  2. Step 2: Convert to fraction form
    17,492.25/26,247.42 = 6,960/x
  3. Step 3: Cross multiply
    17,492.25x = 26,247.42 × 6,960
  4. Step 4: Simplify right side
    17,492.25x = 182,682,043.20
  5. Step 5: Solve for x
    x = 182,682,043.20/17,492.25
  6. Step 6: Final answer
    x = 10,443.60

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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.