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Finding the Fourth Proportional to 15,537.94, 23,287.46 and 12,238

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Solution

The fourth proportional to 15,537.94, 23,287.46 and 12,238 is: 18,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.94 : 23,287.46 = 12,238 : x
  2. Step 2: Convert to fraction form
    15,537.94/23,287.46 = 12,238/x
  3. Step 3: Cross multiply
    15,537.94x = 23,287.46 × 12,238
  4. Step 4: Simplify right side
    15,537.94x = 284,991,935.48
  5. Step 5: Solve for x
    x = 284,991,935.48/15,537.94
  6. Step 6: Final answer
    x = 18,341.68

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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.