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Finding the Fourth Proportional to 23,772.80, 35,659.20 and 11,484.80

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Solution

The fourth proportional to 23,772.80, 35,659.20 and 11,484.80 is: 17,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.80 : 35,659.20 = 11,484.80 : x
  2. Step 2: Convert to fraction form
    23,772.80/35,659.20 = 11,484.80/x
  3. Step 3: Cross multiply
    23,772.80x = 35,659.20 × 11,484.80
  4. Step 4: Simplify right side
    23,772.80x = 409,538,780.16
  5. Step 5: Solve for x
    x = 409,538,780.16/23,772.80
  6. Step 6: Final answer
    x = 17,227.20

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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.