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Finding the Fourth Proportional to 15,768.46, 23,669.09 and 11,613.16

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Solution

The fourth proportional to 15,768.46, 23,669.09 and 11,613.16 is: 17,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.46 : 23,669.09 = 11,613.16 : x
  2. Step 2: Convert to fraction form
    15,768.46/23,669.09 = 11,613.16/x
  3. Step 3: Cross multiply
    15,768.46x = 23,669.09 × 11,613.16
  4. Step 4: Simplify right side
    15,768.46x = 274,872,855.54
  5. Step 5: Solve for x
    x = 274,872,855.54/15,768.46
  6. Step 6: Final answer
    x = 17,431.82

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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.