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Finding the Fourth Proportional to 20,237.22, 27,914.74 and 13,064.38

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Solution

The fourth proportional to 20,237.22, 27,914.74 and 13,064.38 is: 18,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.22 : 27,914.74 = 13,064.38 : x
  2. Step 2: Convert to fraction form
    20,237.22/27,914.74 = 13,064.38/x
  3. Step 3: Cross multiply
    20,237.22x = 27,914.74 × 13,064.38
  4. Step 4: Simplify right side
    20,237.22x = 364,688,668.51
  5. Step 5: Solve for x
    x = 364,688,668.51/20,237.22
  6. Step 6: Final answer
    x = 18,020.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.