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Finding the Fourth Proportional to 20,507.49, 30,764.48 and 6,653.25

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Solution

The fourth proportional to 20,507.49, 30,764.48 and 6,653.25 is: 9,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.49 : 30,764.48 = 6,653.25 : x
  2. Step 2: Convert to fraction form
    20,507.49/30,764.48 = 6,653.25/x
  3. Step 3: Cross multiply
    20,507.49x = 30,764.48 × 6,653.25
  4. Step 4: Simplify right side
    20,507.49x = 204,683,743.29
  5. Step 5: Solve for x
    x = 204,683,743.29/20,507.49
  6. Step 6: Final answer
    x = 9,980.93

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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.