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Finding the Fourth Proportional to 15,191.45, 20,964.16 and 8,477

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Solution

The fourth proportional to 15,191.45, 20,964.16 and 8,477 is: 11,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.45 : 20,964.16 = 8,477 : x
  2. Step 2: Convert to fraction form
    15,191.45/20,964.16 = 8,477/x
  3. Step 3: Cross multiply
    15,191.45x = 20,964.16 × 8,477
  4. Step 4: Simplify right side
    15,191.45x = 177,713,141.94
  5. Step 5: Solve for x
    x = 177,713,141.94/15,191.45
  6. Step 6: Final answer
    x = 11,698.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.