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Finding the Fourth Proportional to 24,652.14, 34,019.93 and 13,321.63

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Solution

The fourth proportional to 24,652.14, 34,019.93 and 13,321.63 is: 18,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.14 : 34,019.93 = 13,321.63 : x
  2. Step 2: Convert to fraction form
    24,652.14/34,019.93 = 13,321.63/x
  3. Step 3: Cross multiply
    24,652.14x = 34,019.93 × 13,321.63
  4. Step 4: Simplify right side
    24,652.14x = 453,200,749.99
  5. Step 5: Solve for x
    x = 453,200,749.99/24,652.14
  6. Step 6: Final answer
    x = 18,383.83

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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.