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Finding the Fourth Proportional to 20,106.21, 30,169.13 and 14,220.91

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Solution

The fourth proportional to 20,106.21, 30,169.13 and 14,220.91 is: 21,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.21 : 30,169.13 = 14,220.91 : x
  2. Step 2: Convert to fraction form
    20,106.21/30,169.13 = 14,220.91/x
  3. Step 3: Cross multiply
    20,106.21x = 30,169.13 × 14,220.91
  4. Step 4: Simplify right side
    20,106.21x = 429,032,482.51
  5. Step 5: Solve for x
    x = 429,032,482.51/20,106.21
  6. Step 6: Final answer
    x = 21,338.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.