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Finding the Fourth Proportional to 12,278.32, 16,938.26 and 8,300.80

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Solution

The fourth proportional to 12,278.32, 16,938.26 and 8,300.80 is: 11,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.32 : 16,938.26 = 8,300.80 : x
  2. Step 2: Convert to fraction form
    12,278.32/16,938.26 = 8,300.80/x
  3. Step 3: Cross multiply
    12,278.32x = 16,938.26 × 8,300.80
  4. Step 4: Simplify right side
    12,278.32x = 140,601,108.61
  5. Step 5: Solve for x
    x = 140,601,108.61/12,278.32
  6. Step 6: Final answer
    x = 11,451.17

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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.