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Finding the Fourth Proportional to 20,018, 30,021.60 and 7,537.16

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Solution

The fourth proportional to 20,018, 30,021.60 and 7,537.16 is: 11,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018 : 30,021.60 = 7,537.16 : x
  2. Step 2: Convert to fraction form
    20,018/30,021.60 = 7,537.16/x
  3. Step 3: Cross multiply
    20,018x = 30,021.60 × 7,537.16
  4. Step 4: Simplify right side
    20,018x = 226,277,602.66
  5. Step 5: Solve for x
    x = 226,277,602.66/20,018
  6. Step 6: Final answer
    x = 11,303.71

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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.