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Finding the Fourth Proportional to 19,807.74, 29,713.23 and 8,121.06

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Solution

The fourth proportional to 19,807.74, 29,713.23 and 8,121.06 is: 12,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.74 : 29,713.23 = 8,121.06 : x
  2. Step 2: Convert to fraction form
    19,807.74/29,713.23 = 8,121.06/x
  3. Step 3: Cross multiply
    19,807.74x = 29,713.23 × 8,121.06
  4. Step 4: Simplify right side
    19,807.74x = 241,302,923.62
  5. Step 5: Solve for x
    x = 241,302,923.62/19,807.74
  6. Step 6: Final answer
    x = 12,182.25

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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.