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Finding the Fourth Proportional to 19,200.30, 28,782.90 and 16,257.69

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Solution

The fourth proportional to 19,200.30, 28,782.90 and 16,257.69 is: 24,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.30 : 28,782.90 = 16,257.69 : x
  2. Step 2: Convert to fraction form
    19,200.30/28,782.90 = 16,257.69/x
  3. Step 3: Cross multiply
    19,200.30x = 28,782.90 × 16,257.69
  4. Step 4: Simplify right side
    19,200.30x = 467,943,465.50
  5. Step 5: Solve for x
    x = 467,943,465.50/19,200.30
  6. Step 6: Final answer
    x = 24,371.67

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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.