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Finding the Fourth Proportional to 23,783.58, 35,651.79 and 13,258.44

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Solution

The fourth proportional to 23,783.58, 35,651.79 and 13,258.44 is: 19,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.58 : 35,651.79 = 13,258.44 : x
  2. Step 2: Convert to fraction form
    23,783.58/35,651.79 = 13,258.44/x
  3. Step 3: Cross multiply
    23,783.58x = 35,651.79 × 13,258.44
  4. Step 4: Simplify right side
    23,783.58x = 472,687,118.61
  5. Step 5: Solve for x
    x = 472,687,118.61/23,783.58
  6. Step 6: Final answer
    x = 19,874.52

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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.