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Finding the Fourth Proportional to 26,978.40, 40,460.40 and 9,446.40

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Solution

The fourth proportional to 26,978.40, 40,460.40 and 9,446.40 is: 14,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.40 : 40,460.40 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    26,978.40/40,460.40 = 9,446.40/x
  3. Step 3: Cross multiply
    26,978.40x = 40,460.40 × 9,446.40
  4. Step 4: Simplify right side
    26,978.40x = 382,205,122.56
  5. Step 5: Solve for x
    x = 382,205,122.56/26,978.40
  6. Step 6: Final answer
    x = 14,167.08

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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.