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Finding the Fourth Proportional to 21,832.26, 30,126.90 and 12,399

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Solution

The fourth proportional to 21,832.26, 30,126.90 and 12,399 is: 17,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.26 : 30,126.90 = 12,399 : x
  2. Step 2: Convert to fraction form
    21,832.26/30,126.90 = 12,399/x
  3. Step 3: Cross multiply
    21,832.26x = 30,126.90 × 12,399
  4. Step 4: Simplify right side
    21,832.26x = 373,543,433.10
  5. Step 5: Solve for x
    x = 373,543,433.10/21,832.26
  6. Step 6: Final answer
    x = 17,109.70

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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.