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Finding the Fourth Proportional to 21,375.99, 32,073.21 and 11,513.30

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Solution

The fourth proportional to 21,375.99, 32,073.21 and 11,513.30 is: 17,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,375.99 : 32,073.21 = 11,513.30 : x
  2. Step 2: Convert to fraction form
    21,375.99/32,073.21 = 11,513.30/x
  3. Step 3: Cross multiply
    21,375.99x = 32,073.21 × 11,513.30
  4. Step 4: Simplify right side
    21,375.99x = 369,268,270.76
  5. Step 5: Solve for x
    x = 369,268,270.76/21,375.99
  6. Step 6: Final answer
    x = 17,274.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.