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Finding the Fourth Proportional to 24,185.92, 33,374.76 and 13,431.40

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Solution

The fourth proportional to 24,185.92, 33,374.76 and 13,431.40 is: 18,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185.92 : 33,374.76 = 13,431.40 : x
  2. Step 2: Convert to fraction form
    24,185.92/33,374.76 = 13,431.40/x
  3. Step 3: Cross multiply
    24,185.92x = 33,374.76 × 13,431.40
  4. Step 4: Simplify right side
    24,185.92x = 448,269,751.46
  5. Step 5: Solve for x
    x = 448,269,751.46/24,185.92
  6. Step 6: Final answer
    x = 18,534.33

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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.