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Finding the Fourth Proportional to 12,278.47, 16,943.65 and 7,245.48

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Solution

The fourth proportional to 12,278.47, 16,943.65 and 7,245.48 is: 9,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.47 : 16,943.65 = 7,245.48 : x
  2. Step 2: Convert to fraction form
    12,278.47/16,943.65 = 7,245.48/x
  3. Step 3: Cross multiply
    12,278.47x = 16,943.65 × 7,245.48
  4. Step 4: Simplify right side
    12,278.47x = 122,764,877.20
  5. Step 5: Solve for x
    x = 122,764,877.20/12,278.47
  6. Step 6: Final answer
    x = 9,998.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.