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Finding the Fourth Proportional to 18,191.28, 27,289.44 and 6,506.40

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Solution

The fourth proportional to 18,191.28, 27,289.44 and 6,506.40 is: 9,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,191.28 : 27,289.44 = 6,506.40 : x
  2. Step 2: Convert to fraction form
    18,191.28/27,289.44 = 6,506.40/x
  3. Step 3: Cross multiply
    18,191.28x = 27,289.44 × 6,506.40
  4. Step 4: Simplify right side
    18,191.28x = 177,556,012.42
  5. Step 5: Solve for x
    x = 177,556,012.42/18,191.28
  6. Step 6: Final answer
    x = 9,760.50

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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.