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Finding the Fourth Proportional to 27,780.40, 38,336.64 and 15,205

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Solution

The fourth proportional to 27,780.40, 38,336.64 and 15,205 is: 20,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.40 : 38,336.64 = 15,205 : x
  2. Step 2: Convert to fraction form
    27,780.40/38,336.64 = 15,205/x
  3. Step 3: Cross multiply
    27,780.40x = 38,336.64 × 15,205
  4. Step 4: Simplify right side
    27,780.40x = 582,908,611.20
  5. Step 5: Solve for x
    x = 582,908,611.20/27,780.40
  6. Step 6: Final answer
    x = 20,982.73

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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.