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Finding the Fourth Proportional to 14,765.04, 20,343.96 and 10,782

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Solution

The fourth proportional to 14,765.04, 20,343.96 and 10,782 is: 14,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.04 : 20,343.96 = 10,782 : x
  2. Step 2: Convert to fraction form
    14,765.04/20,343.96 = 10,782/x
  3. Step 3: Cross multiply
    14,765.04x = 20,343.96 × 10,782
  4. Step 4: Simplify right side
    14,765.04x = 219,348,576.72
  5. Step 5: Solve for x
    x = 219,348,576.72/14,765.04
  6. Step 6: Final answer
    x = 14,855.94

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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.