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Finding the Fourth Proportional to 22,412.40, 33,642.90 and 14,101.80

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Solution

The fourth proportional to 22,412.40, 33,642.90 and 14,101.80 is: 21,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.40 : 33,642.90 = 14,101.80 : x
  2. Step 2: Convert to fraction form
    22,412.40/33,642.90 = 14,101.80/x
  3. Step 3: Cross multiply
    22,412.40x = 33,642.90 × 14,101.80
  4. Step 4: Simplify right side
    22,412.40x = 474,425,447.22
  5. Step 5: Solve for x
    x = 474,425,447.22/22,412.40
  6. Step 6: Final answer
    x = 21,167.99

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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.