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Finding the Fourth Proportional to 24,846.80, 37,313.40 and 13,182.80

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Solution

The fourth proportional to 24,846.80, 37,313.40 and 13,182.80 is: 19,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.80 : 37,313.40 = 13,182.80 : x
  2. Step 2: Convert to fraction form
    24,846.80/37,313.40 = 13,182.80/x
  3. Step 3: Cross multiply
    24,846.80x = 37,313.40 × 13,182.80
  4. Step 4: Simplify right side
    24,846.80x = 491,895,089.52
  5. Step 5: Solve for x
    x = 491,895,089.52/24,846.80
  6. Step 6: Final answer
    x = 19,797.12

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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.