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Finding the Fourth Proportional to 27,993.82, 38,631.47 and 15,418.57

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Solution

The fourth proportional to 27,993.82, 38,631.47 and 15,418.57 is: 21,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.82 : 38,631.47 = 15,418.57 : x
  2. Step 2: Convert to fraction form
    27,993.82/38,631.47 = 15,418.57/x
  3. Step 3: Cross multiply
    27,993.82x = 38,631.47 × 15,418.57
  4. Step 4: Simplify right side
    27,993.82x = 595,642,075.02
  5. Step 5: Solve for x
    x = 595,642,075.02/27,993.82
  6. Step 6: Final answer
    x = 21,277.63

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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.