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Finding the Fourth Proportional to 12,978.50, 19,498.89 and 8,307.63

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Solution

The fourth proportional to 12,978.50, 19,498.89 and 8,307.63 is: 12,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978.50 : 19,498.89 = 8,307.63 : x
  2. Step 2: Convert to fraction form
    12,978.50/19,498.89 = 8,307.63/x
  3. Step 3: Cross multiply
    12,978.50x = 19,498.89 × 8,307.63
  4. Step 4: Simplify right side
    12,978.50x = 161,989,594.68
  5. Step 5: Solve for x
    x = 161,989,594.68/12,978.50
  6. Step 6: Final answer
    x = 12,481.39

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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.