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Finding the Fourth Proportional to 17,922.24, 26,866.08 and 11,328

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Solution

The fourth proportional to 17,922.24, 26,866.08 and 11,328 is: 16,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.24 : 26,866.08 = 11,328 : x
  2. Step 2: Convert to fraction form
    17,922.24/26,866.08 = 11,328/x
  3. Step 3: Cross multiply
    17,922.24x = 26,866.08 × 11,328
  4. Step 4: Simplify right side
    17,922.24x = 304,338,954.24
  5. Step 5: Solve for x
    x = 304,338,954.24/17,922.24
  6. Step 6: Final answer
    x = 16,981.08

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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.