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Finding the Fourth Proportional to 24,749.40, 34,154.84 and 13,993.42

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Solution

The fourth proportional to 24,749.40, 34,154.84 and 13,993.42 is: 19,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.40 : 34,154.84 = 13,993.42 : x
  2. Step 2: Convert to fraction form
    24,749.40/34,154.84 = 13,993.42/x
  3. Step 3: Cross multiply
    24,749.40x = 34,154.84 × 13,993.42
  4. Step 4: Simplify right side
    24,749.40x = 477,943,021.15
  5. Step 5: Solve for x
    x = 477,943,021.15/24,749.40
  6. Step 6: Final answer
    x = 19,311.30

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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.