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Finding the Fourth Proportional to 23,822.40, 35,733.60 and 16,449.60

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Solution

The fourth proportional to 23,822.40, 35,733.60 and 16,449.60 is: 24,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.40 : 35,733.60 = 16,449.60 : x
  2. Step 2: Convert to fraction form
    23,822.40/35,733.60 = 16,449.60/x
  3. Step 3: Cross multiply
    23,822.40x = 35,733.60 × 16,449.60
  4. Step 4: Simplify right side
    23,822.40x = 587,803,426.56
  5. Step 5: Solve for x
    x = 587,803,426.56/23,822.40
  6. Step 6: Final answer
    x = 24,674.40

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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.