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Finding the Fourth Proportional to 22,145.99, 30,563.84 and 13,646.30

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Solution

The fourth proportional to 22,145.99, 30,563.84 and 13,646.30 is: 18,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.99 : 30,563.84 = 13,646.30 : x
  2. Step 2: Convert to fraction form
    22,145.99/30,563.84 = 13,646.30/x
  3. Step 3: Cross multiply
    22,145.99x = 30,563.84 × 13,646.30
  4. Step 4: Simplify right side
    22,145.99x = 417,083,211.09
  5. Step 5: Solve for x
    x = 417,083,211.09/22,145.99
  6. Step 6: Final answer
    x = 18,833.36

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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.