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Finding the Fourth Proportional to 24,932.80, 37,382.46 and 11,773

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Solution

The fourth proportional to 24,932.80, 37,382.46 and 11,773 is: 17,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.80 : 37,382.46 = 11,773 : x
  2. Step 2: Convert to fraction form
    24,932.80/37,382.46 = 11,773/x
  3. Step 3: Cross multiply
    24,932.80x = 37,382.46 × 11,773
  4. Step 4: Simplify right side
    24,932.80x = 440,103,701.58
  5. Step 5: Solve for x
    x = 440,103,701.58/24,932.80
  6. Step 6: Final answer
    x = 17,651.60

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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.