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Finding the Fourth Proportional to 19,243.76, 28,865.82 and 6,096.20

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Solution

The fourth proportional to 19,243.76, 28,865.82 and 6,096.20 is: 9,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,243.76 : 28,865.82 = 6,096.20 : x
  2. Step 2: Convert to fraction form
    19,243.76/28,865.82 = 6,096.20/x
  3. Step 3: Cross multiply
    19,243.76x = 28,865.82 × 6,096.20
  4. Step 4: Simplify right side
    19,243.76x = 175,971,811.88
  5. Step 5: Solve for x
    x = 175,971,811.88/19,243.76
  6. Step 6: Final answer
    x = 9,144.36

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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.