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Finding the Fourth Proportional to 19,298.02, 28,960.87 and 8,212.50

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Solution

The fourth proportional to 19,298.02, 28,960.87 and 8,212.50 is: 12,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.02 : 28,960.87 = 8,212.50 : x
  2. Step 2: Convert to fraction form
    19,298.02/28,960.87 = 8,212.50/x
  3. Step 3: Cross multiply
    19,298.02x = 28,960.87 × 8,212.50
  4. Step 4: Simplify right side
    19,298.02x = 237,841,144.88
  5. Step 5: Solve for x
    x = 237,841,144.88/19,298.02
  6. Step 6: Final answer
    x = 12,324.64

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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.