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Finding the Fourth Proportional to 24,597.90, 33,945.48 and 13,419.90

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Solution

The fourth proportional to 24,597.90, 33,945.48 and 13,419.90 is: 18,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.90 : 33,945.48 = 13,419.90 : x
  2. Step 2: Convert to fraction form
    24,597.90/33,945.48 = 13,419.90/x
  3. Step 3: Cross multiply
    24,597.90x = 33,945.48 × 13,419.90
  4. Step 4: Simplify right side
    24,597.90x = 455,544,947.05
  5. Step 5: Solve for x
    x = 455,544,947.05/24,597.90
  6. Step 6: Final answer
    x = 18,519.67

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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.