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Finding the Fourth Proportional to 23,678.40, 35,546.40 and 17,788.80

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Solution

The fourth proportional to 23,678.40, 35,546.40 and 17,788.80 is: 26,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.40 : 35,546.40 = 17,788.80 : x
  2. Step 2: Convert to fraction form
    23,678.40/35,546.40 = 17,788.80/x
  3. Step 3: Cross multiply
    23,678.40x = 35,546.40 × 17,788.80
  4. Step 4: Simplify right side
    23,678.40x = 632,327,800.32
  5. Step 5: Solve for x
    x = 632,327,800.32/23,678.40
  6. Step 6: Final answer
    x = 26,704.84

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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.