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Finding the Fourth Proportional to 26,893.80, 40,335.30 and 12,853.80

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Solution

The fourth proportional to 26,893.80, 40,335.30 and 12,853.80 is: 19,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,893.80 : 40,335.30 = 12,853.80 : x
  2. Step 2: Convert to fraction form
    26,893.80/40,335.30 = 12,853.80/x
  3. Step 3: Cross multiply
    26,893.80x = 40,335.30 × 12,853.80
  4. Step 4: Simplify right side
    26,893.80x = 518,461,879.14
  5. Step 5: Solve for x
    x = 518,461,879.14/26,893.80
  6. Step 6: Final answer
    x = 19,278.12

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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.