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Finding the Fourth Proportional to 17,774.71, 26,638.98 and 7,232.44

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Solution

The fourth proportional to 17,774.71, 26,638.98 and 7,232.44 is: 10,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.71 : 26,638.98 = 7,232.44 : x
  2. Step 2: Convert to fraction form
    17,774.71/26,638.98 = 7,232.44/x
  3. Step 3: Cross multiply
    17,774.71x = 26,638.98 × 7,232.44
  4. Step 4: Simplify right side
    17,774.71x = 192,664,824.51
  5. Step 5: Solve for x
    x = 192,664,824.51/17,774.71
  6. Step 6: Final answer
    x = 10,839.27

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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.