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Finding the Fourth Proportional to 20,451.94, 30,678.29 and 6,411.65

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Solution

The fourth proportional to 20,451.94, 30,678.29 and 6,411.65 is: 9,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.94 : 30,678.29 = 6,411.65 : x
  2. Step 2: Convert to fraction form
    20,451.94/30,678.29 = 6,411.65/x
  3. Step 3: Cross multiply
    20,451.94x = 30,678.29 × 6,411.65
  4. Step 4: Simplify right side
    20,451.94x = 196,698,426.02
  5. Step 5: Solve for x
    x = 196,698,426.02/20,451.94
  6. Step 6: Final answer
    x = 9,617.59

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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.