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Finding the Fourth Proportional to 20,070.21, 27,686.71 and 13,347.21

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Solution

The fourth proportional to 20,070.21, 27,686.71 and 13,347.21 is: 18,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.21 : 27,686.71 = 13,347.21 : x
  2. Step 2: Convert to fraction form
    20,070.21/27,686.71 = 13,347.21/x
  3. Step 3: Cross multiply
    20,070.21x = 27,686.71 × 13,347.21
  4. Step 4: Simplify right side
    20,070.21x = 369,540,453.09
  5. Step 5: Solve for x
    x = 369,540,453.09/20,070.21
  6. Step 6: Final answer
    x = 18,412.38

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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.