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Finding the Fourth Proportional to 21,123.56, 29,169.87 and 13,583

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Solution

The fourth proportional to 21,123.56, 29,169.87 and 13,583 is: 18,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.56 : 29,169.87 = 13,583 : x
  2. Step 2: Convert to fraction form
    21,123.56/29,169.87 = 13,583/x
  3. Step 3: Cross multiply
    21,123.56x = 29,169.87 × 13,583
  4. Step 4: Simplify right side
    21,123.56x = 396,214,344.21
  5. Step 5: Solve for x
    x = 396,214,344.21/21,123.56
  6. Step 6: Final answer
    x = 18,756.99

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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.