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Finding the Fourth Proportional to 23,819.60, 35,703.80 and 9,022.80

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Solution

The fourth proportional to 23,819.60, 35,703.80 and 9,022.80 is: 13,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.60 : 35,703.80 = 9,022.80 : x
  2. Step 2: Convert to fraction form
    23,819.60/35,703.80 = 9,022.80/x
  3. Step 3: Cross multiply
    23,819.60x = 35,703.80 × 9,022.80
  4. Step 4: Simplify right side
    23,819.60x = 322,148,246.64
  5. Step 5: Solve for x
    x = 322,148,246.64/23,819.60
  6. Step 6: Final answer
    x = 13,524.50

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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.