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Finding the Fourth Proportional to 19,336.22, 28,984.08 and 8,097.98

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Solution

The fourth proportional to 19,336.22, 28,984.08 and 8,097.98 is: 12,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,336.22 : 28,984.08 = 8,097.98 : x
  2. Step 2: Convert to fraction form
    19,336.22/28,984.08 = 8,097.98/x
  3. Step 3: Cross multiply
    19,336.22x = 28,984.08 × 8,097.98
  4. Step 4: Simplify right side
    19,336.22x = 234,712,355.24
  5. Step 5: Solve for x
    x = 234,712,355.24/19,336.22
  6. Step 6: Final answer
    x = 12,138.48

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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.