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Finding the Fourth Proportional to 27,378, 37,782.96 and 15,441.06

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Solution

The fourth proportional to 27,378, 37,782.96 and 15,441.06 is: 21,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378 : 37,782.96 = 15,441.06 : x
  2. Step 2: Convert to fraction form
    27,378/37,782.96 = 15,441.06/x
  3. Step 3: Cross multiply
    27,378x = 37,782.96 × 15,441.06
  4. Step 4: Simplify right side
    27,378x = 583,409,036.12
  5. Step 5: Solve for x
    x = 583,409,036.12/27,378
  6. Step 6: Final answer
    x = 21,309.41

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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.