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Finding the Fourth Proportional to 38,498.84, 57,750.33 and 12,205.64

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Solution

The fourth proportional to 38,498.84, 57,750.33 and 12,205.64 is: 18,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.84 : 57,750.33 = 12,205.64 : x
  2. Step 2: Convert to fraction form
    38,498.84/57,750.33 = 12,205.64/x
  3. Step 3: Cross multiply
    38,498.84x = 57,750.33 × 12,205.64
  4. Step 4: Simplify right side
    38,498.84x = 704,879,449.11
  5. Step 5: Solve for x
    x = 704,879,449.11/38,498.84
  6. Step 6: Final answer
    x = 18,309.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.