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Finding the Fourth Proportional to 27,405.67, 37,819.83 and 14,830.42

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Solution

The fourth proportional to 27,405.67, 37,819.83 and 14,830.42 is: 20,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.67 : 37,819.83 = 14,830.42 : x
  2. Step 2: Convert to fraction form
    27,405.67/37,819.83 = 14,830.42/x
  3. Step 3: Cross multiply
    27,405.67x = 37,819.83 × 14,830.42
  4. Step 4: Simplify right side
    27,405.67x = 560,883,963.23
  5. Step 5: Solve for x
    x = 560,883,963.23/27,405.67
  6. Step 6: Final answer
    x = 20,465.98

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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.