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Finding the Fourth Proportional to 23,752.40, 35,628.16 and 8,169.60

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Solution

The fourth proportional to 23,752.40, 35,628.16 and 8,169.60 is: 12,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.40 : 35,628.16 = 8,169.60 : x
  2. Step 2: Convert to fraction form
    23,752.40/35,628.16 = 8,169.60/x
  3. Step 3: Cross multiply
    23,752.40x = 35,628.16 × 8,169.60
  4. Step 4: Simplify right side
    23,752.40x = 291,067,815.94
  5. Step 5: Solve for x
    x = 291,067,815.94/23,752.40
  6. Step 6: Final answer
    x = 12,254.25

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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.