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Finding the Fourth Proportional to 20,235.84, 27,924.72 and 11,283.20

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Solution

The fourth proportional to 20,235.84, 27,924.72 and 11,283.20 is: 15,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.84 : 27,924.72 = 11,283.20 : x
  2. Step 2: Convert to fraction form
    20,235.84/27,924.72 = 11,283.20/x
  3. Step 3: Cross multiply
    20,235.84x = 27,924.72 × 11,283.20
  4. Step 4: Simplify right side
    20,235.84x = 315,080,200.70
  5. Step 5: Solve for x
    x = 315,080,200.70/20,235.84
  6. Step 6: Final answer
    x = 15,570.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.