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Finding the Fourth Proportional to 21,754.24, 30,025.68 and 12,328

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Solution

The fourth proportional to 21,754.24, 30,025.68 and 12,328 is: 17,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.24 : 30,025.68 = 12,328 : x
  2. Step 2: Convert to fraction form
    21,754.24/30,025.68 = 12,328/x
  3. Step 3: Cross multiply
    21,754.24x = 30,025.68 × 12,328
  4. Step 4: Simplify right side
    21,754.24x = 370,156,583.04
  5. Step 5: Solve for x
    x = 370,156,583.04/21,754.24
  6. Step 6: Final answer
    x = 17,015.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.