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Finding the Fourth Proportional to 24,097.96, 33,255.15 and 13,489.63

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Solution

The fourth proportional to 24,097.96, 33,255.15 and 13,489.63 is: 18,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.96 : 33,255.15 = 13,489.63 : x
  2. Step 2: Convert to fraction form
    24,097.96/33,255.15 = 13,489.63/x
  3. Step 3: Cross multiply
    24,097.96x = 33,255.15 × 13,489.63
  4. Step 4: Simplify right side
    24,097.96x = 448,599,669.09
  5. Step 5: Solve for x
    x = 448,599,669.09/24,097.96
  6. Step 6: Final answer
    x = 18,615.67

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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.