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Finding the Fourth Proportional to 26,838.47, 40,262.36 and 9,069.28

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Solution

The fourth proportional to 26,838.47, 40,262.36 and 9,069.28 is: 13,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838.47 : 40,262.36 = 9,069.28 : x
  2. Step 2: Convert to fraction form
    26,838.47/40,262.36 = 9,069.28/x
  3. Step 3: Cross multiply
    26,838.47x = 40,262.36 × 9,069.28
  4. Step 4: Simplify right side
    26,838.47x = 365,150,470.30
  5. Step 5: Solve for x
    x = 365,150,470.30/26,838.47
  6. Step 6: Final answer
    x = 13,605.49

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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.