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Finding the Fourth Proportional to 24,782.46, 37,186.92 and 11,634.96

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Solution

The fourth proportional to 24,782.46, 37,186.92 and 11,634.96 is: 17,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.46 : 37,186.92 = 11,634.96 : x
  2. Step 2: Convert to fraction form
    24,782.46/37,186.92 = 11,634.96/x
  3. Step 3: Cross multiply
    24,782.46x = 37,186.92 × 11,634.96
  4. Step 4: Simplify right side
    24,782.46x = 432,668,326.72
  5. Step 5: Solve for x
    x = 432,668,326.72/24,782.46
  6. Step 6: Final answer
    x = 17,458.65

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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.