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Finding the Fourth Proportional to 22,527.20, 33,742.20 and 19,611.20

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Solution

The fourth proportional to 22,527.20, 33,742.20 and 19,611.20 is: 29,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.20 : 33,742.20 = 19,611.20 : x
  2. Step 2: Convert to fraction form
    22,527.20/33,742.20 = 19,611.20/x
  3. Step 3: Cross multiply
    22,527.20x = 33,742.20 × 19,611.20
  4. Step 4: Simplify right side
    22,527.20x = 661,725,032.64
  5. Step 5: Solve for x
    x = 661,725,032.64/22,527.20
  6. Step 6: Final answer
    x = 29,374.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.