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Finding the Fourth Proportional to 19,589, 27,032.82 and 11,205.50

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Solution

The fourth proportional to 19,589, 27,032.82 and 11,205.50 is: 15,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589 : 27,032.82 = 11,205.50 : x
  2. Step 2: Convert to fraction form
    19,589/27,032.82 = 11,205.50/x
  3. Step 3: Cross multiply
    19,589x = 27,032.82 × 11,205.50
  4. Step 4: Simplify right side
    19,589x = 302,916,264.51
  5. Step 5: Solve for x
    x = 302,916,264.51/19,589
  6. Step 6: Final answer
    x = 15,463.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.