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Finding the Fourth Proportional to 14,769.66, 20,382.16 and 9,467.52

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Solution

The fourth proportional to 14,769.66, 20,382.16 and 9,467.52 is: 13,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.66 : 20,382.16 = 9,467.52 : x
  2. Step 2: Convert to fraction form
    14,769.66/20,382.16 = 9,467.52/x
  3. Step 3: Cross multiply
    14,769.66x = 20,382.16 × 9,467.52
  4. Step 4: Simplify right side
    14,769.66x = 192,968,507.44
  5. Step 5: Solve for x
    x = 192,968,507.44/14,769.66
  6. Step 6: Final answer
    x = 13,065.20

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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.