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Finding the Fourth Proportional to 23,628.32, 35,434.80 and 8,045.60

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Solution

The fourth proportional to 23,628.32, 35,434.80 and 8,045.60 is: 12,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628.32 : 35,434.80 = 8,045.60 : x
  2. Step 2: Convert to fraction form
    23,628.32/35,434.80 = 8,045.60/x
  3. Step 3: Cross multiply
    23,628.32x = 35,434.80 × 8,045.60
  4. Step 4: Simplify right side
    23,628.32x = 285,094,226.88
  5. Step 5: Solve for x
    x = 285,094,226.88/23,628.32
  6. Step 6: Final answer
    x = 12,065.78

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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.