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Finding the Fourth Proportional to 27,405.25, 37,819.28 and 14,830

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Solution

The fourth proportional to 27,405.25, 37,819.28 and 14,830 is: 20,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.25 : 37,819.28 = 14,830 : x
  2. Step 2: Convert to fraction form
    27,405.25/37,819.28 = 14,830/x
  3. Step 3: Cross multiply
    27,405.25x = 37,819.28 × 14,830
  4. Step 4: Simplify right side
    27,405.25x = 560,859,922.40
  5. Step 5: Solve for x
    x = 560,859,922.40/27,405.25
  6. Step 6: Final answer
    x = 20,465.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.