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Finding the Fourth Proportional to 15,682.41, 23,527.50 and 7,788.63

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Solution

The fourth proportional to 15,682.41, 23,527.50 and 7,788.63 is: 11,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.41 : 23,527.50 = 7,788.63 : x
  2. Step 2: Convert to fraction form
    15,682.41/23,527.50 = 7,788.63/x
  3. Step 3: Cross multiply
    15,682.41x = 23,527.50 × 7,788.63
  4. Step 4: Simplify right side
    15,682.41x = 183,246,992.33
  5. Step 5: Solve for x
    x = 183,246,992.33/15,682.41
  6. Step 6: Final answer
    x = 11,684.87

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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.