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Finding the Fourth Proportional to 22,364.22, 30,860.71 and 13,164.80

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Solution

The fourth proportional to 22,364.22, 30,860.71 and 13,164.80 is: 18,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.22 : 30,860.71 = 13,164.80 : x
  2. Step 2: Convert to fraction form
    22,364.22/30,860.71 = 13,164.80/x
  3. Step 3: Cross multiply
    22,364.22x = 30,860.71 × 13,164.80
  4. Step 4: Simplify right side
    22,364.22x = 406,275,075.01
  5. Step 5: Solve for x
    x = 406,275,075.01/22,364.22
  6. Step 6: Final answer
    x = 18,166.30

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