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Finding the Fourth Proportional to 20,476.65, 30,714.98 and 5,685.57

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Solution

The fourth proportional to 20,476.65, 30,714.98 and 5,685.57 is: 8,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.65 : 30,714.98 = 5,685.57 : x
  2. Step 2: Convert to fraction form
    20,476.65/30,714.98 = 5,685.57/x
  3. Step 3: Cross multiply
    20,476.65x = 30,714.98 × 5,685.57
  4. Step 4: Simplify right side
    20,476.65x = 174,632,078.53
  5. Step 5: Solve for x
    x = 174,632,078.53/20,476.65
  6. Step 6: Final answer
    x = 8,528.35

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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.