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Finding the Fourth Proportional to 15,447.84, 23,170.24 and 7,661.76

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Solution

The fourth proportional to 15,447.84, 23,170.24 and 7,661.76 is: 11,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447.84 : 23,170.24 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    15,447.84/23,170.24 = 7,661.76/x
  3. Step 3: Cross multiply
    15,447.84x = 23,170.24 × 7,661.76
  4. Step 4: Simplify right side
    15,447.84x = 177,524,818.02
  5. Step 5: Solve for x
    x = 177,524,818.02/15,447.84
  6. Step 6: Final answer
    x = 11,491.89

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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.