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Finding the Fourth Proportional to 24,782.48, 37,145.64 and 12,311.18

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Solution

The fourth proportional to 24,782.48, 37,145.64 and 12,311.18 is: 18,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.48 : 37,145.64 = 12,311.18 : x
  2. Step 2: Convert to fraction form
    24,782.48/37,145.64 = 12,311.18/x
  3. Step 3: Cross multiply
    24,782.48x = 37,145.64 × 12,311.18
  4. Step 4: Simplify right side
    24,782.48x = 457,306,660.26
  5. Step 5: Solve for x
    x = 457,306,660.26/24,782.48
  6. Step 6: Final answer
    x = 18,452.82

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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.