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Finding the Fourth Proportional to 14,765.49, 20,382.30 and 10,052.64

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Solution

The fourth proportional to 14,765.49, 20,382.30 and 10,052.64 is: 13,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.49 : 20,382.30 = 10,052.64 : x
  2. Step 2: Convert to fraction form
    14,765.49/20,382.30 = 10,052.64/x
  3. Step 3: Cross multiply
    14,765.49x = 20,382.30 × 10,052.64
  4. Step 4: Simplify right side
    14,765.49x = 204,895,924.27
  5. Step 5: Solve for x
    x = 204,895,924.27/14,765.49
  6. Step 6: Final answer
    x = 13,876.68

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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.