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Finding the Fourth Proportional to 23,982.40, 35,973.60 and 23,828.80

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Solution

The fourth proportional to 23,982.40, 35,973.60 and 23,828.80 is: 35,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982.40 : 35,973.60 = 23,828.80 : x
  2. Step 2: Convert to fraction form
    23,982.40/35,973.60 = 23,828.80/x
  3. Step 3: Cross multiply
    23,982.40x = 35,973.60 × 23,828.80
  4. Step 4: Simplify right side
    23,982.40x = 857,207,719.68
  5. Step 5: Solve for x
    x = 857,207,719.68/23,982.40
  6. Step 6: Final answer
    x = 35,743.20

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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.