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Finding the Fourth Proportional to 25,648.64, 38,443.56 and 11,768.48

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Solution

The fourth proportional to 25,648.64, 38,443.56 and 11,768.48 is: 17,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.64 : 38,443.56 = 11,768.48 : x
  2. Step 2: Convert to fraction form
    25,648.64/38,443.56 = 11,768.48/x
  3. Step 3: Cross multiply
    25,648.64x = 38,443.56 × 11,768.48
  4. Step 4: Simplify right side
    25,648.64x = 452,422,266.99
  5. Step 5: Solve for x
    x = 452,422,266.99/25,648.64
  6. Step 6: Final answer
    x = 17,639.23

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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.