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Finding the Fourth Proportional to 24,523.14, 36,777.87 and 6,749.52

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Solution

The fourth proportional to 24,523.14, 36,777.87 and 6,749.52 is: 10,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.14 : 36,777.87 = 6,749.52 : x
  2. Step 2: Convert to fraction form
    24,523.14/36,777.87 = 6,749.52/x
  3. Step 3: Cross multiply
    24,523.14x = 36,777.87 × 6,749.52
  4. Step 4: Simplify right side
    24,523.14x = 248,232,969.12
  5. Step 5: Solve for x
    x = 248,232,969.12/24,523.14
  6. Step 6: Final answer
    x = 10,122.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.