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Finding the Fourth Proportional to 24,536.22, 33,858.22 and 13,780.53

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Solution

The fourth proportional to 24,536.22, 33,858.22 and 13,780.53 is: 19,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.22 : 33,858.22 = 13,780.53 : x
  2. Step 2: Convert to fraction form
    24,536.22/33,858.22 = 13,780.53/x
  3. Step 3: Cross multiply
    24,536.22x = 33,858.22 × 13,780.53
  4. Step 4: Simplify right side
    24,536.22x = 466,584,375.81
  5. Step 5: Solve for x
    x = 466,584,375.81/24,536.22
  6. Step 6: Final answer
    x = 19,016.15

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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.