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Finding the Fourth Proportional to 13,374.65, 20,064.25 and 6,714.33

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Solution

The fourth proportional to 13,374.65, 20,064.25 and 6,714.33 is: 10,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.65 : 20,064.25 = 6,714.33 : x
  2. Step 2: Convert to fraction form
    13,374.65/20,064.25 = 6,714.33/x
  3. Step 3: Cross multiply
    13,374.65x = 20,064.25 × 6,714.33
  4. Step 4: Simplify right side
    13,374.65x = 134,717,995.70
  5. Step 5: Solve for x
    x = 134,717,995.70/13,374.65
  6. Step 6: Final answer
    x = 10,072.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.