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Finding the Fourth Proportional to 15,674.16, 23,532.11 and 9,105.06

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Solution

The fourth proportional to 15,674.16, 23,532.11 and 9,105.06 is: 13,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.16 : 23,532.11 = 9,105.06 : x
  2. Step 2: Convert to fraction form
    15,674.16/23,532.11 = 9,105.06/x
  3. Step 3: Cross multiply
    15,674.16x = 23,532.11 × 9,105.06
  4. Step 4: Simplify right side
    15,674.16x = 214,261,273.48
  5. Step 5: Solve for x
    x = 214,261,273.48/15,674.16
  6. Step 6: Final answer
    x = 13,669.71

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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.