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Finding the Fourth Proportional to 27,405.12, 37,819.20 and 14,829.90

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Solution

The fourth proportional to 27,405.12, 37,819.20 and 14,829.90 is: 20,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.12 : 37,819.20 = 14,829.90 : x
  2. Step 2: Convert to fraction form
    27,405.12/37,819.20 = 14,829.90/x
  3. Step 3: Cross multiply
    27,405.12x = 37,819.20 × 14,829.90
  4. Step 4: Simplify right side
    27,405.12x = 560,854,954.08
  5. Step 5: Solve for x
    x = 560,854,954.08/27,405.12
  6. Step 6: Final answer
    x = 20,465.33

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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.