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Finding the Fourth Proportional to 20,207.82, 30,298.02 and 7,053

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Solution

The fourth proportional to 20,207.82, 30,298.02 and 7,053 is: 10,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.82 : 30,298.02 = 7,053 : x
  2. Step 2: Convert to fraction form
    20,207.82/30,298.02 = 7,053/x
  3. Step 3: Cross multiply
    20,207.82x = 30,298.02 × 7,053
  4. Step 4: Simplify right side
    20,207.82x = 213,691,935.06
  5. Step 5: Solve for x
    x = 213,691,935.06/20,207.82
  6. Step 6: Final answer
    x = 10,574.71

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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.