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Finding the Fourth Proportional to 27,266.40, 40,897.44 and 9,734.40

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Solution

The fourth proportional to 27,266.40, 40,897.44 and 9,734.40 is: 14,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266.40 : 40,897.44 = 9,734.40 : x
  2. Step 2: Convert to fraction form
    27,266.40/40,897.44 = 9,734.40/x
  3. Step 3: Cross multiply
    27,266.40x = 40,897.44 × 9,734.40
  4. Step 4: Simplify right side
    27,266.40x = 398,112,039.94
  5. Step 5: Solve for x
    x = 398,112,039.94/27,266.40
  6. Step 6: Final answer
    x = 14,600.83

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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.