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Finding the Fourth Proportional to 24,497.73, 33,806.20 and 13,887.33

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Solution

The fourth proportional to 24,497.73, 33,806.20 and 13,887.33 is: 19,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.73 : 33,806.20 = 13,887.33 : x
  2. Step 2: Convert to fraction form
    24,497.73/33,806.20 = 13,887.33/x
  3. Step 3: Cross multiply
    24,497.73x = 33,806.20 × 13,887.33
  4. Step 4: Simplify right side
    24,497.73x = 469,477,855.45
  5. Step 5: Solve for x
    x = 469,477,855.45/24,497.73
  6. Step 6: Final answer
    x = 19,164.14

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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.