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Finding the Fourth Proportional to 15,682.47, 23,525.79 and 8,287.23

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Solution

The fourth proportional to 15,682.47, 23,525.79 and 8,287.23 is: 12,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.47 : 23,525.79 = 8,287.23 : x
  2. Step 2: Convert to fraction form
    15,682.47/23,525.79 = 8,287.23/x
  3. Step 3: Cross multiply
    15,682.47x = 23,525.79 × 8,287.23
  4. Step 4: Simplify right side
    15,682.47x = 194,963,632.66
  5. Step 5: Solve for x
    x = 194,963,632.66/15,682.47
  6. Step 6: Final answer
    x = 12,431.95

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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.