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Finding the Fourth Proportional to 11,569.87, 15,954.49 and 9,896.82

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Solution

The fourth proportional to 11,569.87, 15,954.49 and 9,896.82 is: 13,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.87 : 15,954.49 = 9,896.82 : x
  2. Step 2: Convert to fraction form
    11,569.87/15,954.49 = 9,896.82/x
  3. Step 3: Cross multiply
    11,569.87x = 15,954.49 × 9,896.82
  4. Step 4: Simplify right side
    11,569.87x = 157,898,612.59
  5. Step 5: Solve for x
    x = 157,898,612.59/11,569.87
  6. Step 6: Final answer
    x = 13,647.40

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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.