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Finding the Fourth Proportional to 10,366.50, 15,556.42 and 10,328.24

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Solution

The fourth proportional to 10,366.50, 15,556.42 and 10,328.24 is: 15,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.50 : 15,556.42 = 10,328.24 : x
  2. Step 2: Convert to fraction form
    10,366.50/15,556.42 = 10,328.24/x
  3. Step 3: Cross multiply
    10,366.50x = 15,556.42 × 10,328.24
  4. Step 4: Simplify right side
    10,366.50x = 160,670,439.30
  5. Step 5: Solve for x
    x = 160,670,439.30/10,366.50
  6. Step 6: Final answer
    x = 15,499.01

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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.