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Finding the Fourth Proportional to 23,788.40, 32,817.30 and 17,820.32

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Solution

The fourth proportional to 23,788.40, 32,817.30 and 17,820.32 is: 24,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.40 : 32,817.30 = 17,820.32 : x
  2. Step 2: Convert to fraction form
    23,788.40/32,817.30 = 17,820.32/x
  3. Step 3: Cross multiply
    23,788.40x = 32,817.30 × 17,820.32
  4. Step 4: Simplify right side
    23,788.40x = 584,814,787.54
  5. Step 5: Solve for x
    x = 584,814,787.54/23,788.40
  6. Step 6: Final answer
    x = 24,584.03

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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.