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Finding the Fourth Proportional to 20,698.35, 31,036.19 and 8,205.72

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Solution

The fourth proportional to 20,698.35, 31,036.19 and 8,205.72 is: 12,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.35 : 31,036.19 = 8,205.72 : x
  2. Step 2: Convert to fraction form
    20,698.35/31,036.19 = 8,205.72/x
  3. Step 3: Cross multiply
    20,698.35x = 31,036.19 × 8,205.72
  4. Step 4: Simplify right side
    20,698.35x = 254,674,243.98
  5. Step 5: Solve for x
    x = 254,674,243.98/20,698.35
  6. Step 6: Final answer
    x = 12,304.08

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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.