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Finding the Fourth Proportional to 16,334.65, 24,471.06 and 9,651.16

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Solution

The fourth proportional to 16,334.65, 24,471.06 and 9,651.16 is: 14,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.65 : 24,471.06 = 9,651.16 : x
  2. Step 2: Convert to fraction form
    16,334.65/24,471.06 = 9,651.16/x
  3. Step 3: Cross multiply
    16,334.65x = 24,471.06 × 9,651.16
  4. Step 4: Simplify right side
    16,334.65x = 236,174,115.43
  5. Step 5: Solve for x
    x = 236,174,115.43/16,334.65
  6. Step 6: Final answer
    x = 14,458.47

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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.