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Finding the Fourth Proportional to 23,628.16, 35,443.08 and 8,043.76

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Solution

The fourth proportional to 23,628.16, 35,443.08 and 8,043.76 is: 12,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628.16 : 35,443.08 = 8,043.76 : x
  2. Step 2: Convert to fraction form
    23,628.16/35,443.08 = 8,043.76/x
  3. Step 3: Cross multiply
    23,628.16x = 35,443.08 × 8,043.76
  4. Step 4: Simplify right side
    23,628.16x = 285,095,629.18
  5. Step 5: Solve for x
    x = 285,095,629.18/23,628.16
  6. Step 6: Final answer
    x = 12,065.93

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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.