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Finding the Fourth Proportional to 21,543.67, 29,729.68 and 12,112.84

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Solution

The fourth proportional to 21,543.67, 29,729.68 and 12,112.84 is: 16,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.67 : 29,729.68 = 12,112.84 : x
  2. Step 2: Convert to fraction form
    21,543.67/29,729.68 = 12,112.84/x
  3. Step 3: Cross multiply
    21,543.67x = 29,729.68 × 12,112.84
  4. Step 4: Simplify right side
    21,543.67x = 360,110,857.09
  5. Step 5: Solve for x
    x = 360,110,857.09/21,543.67
  6. Step 6: Final answer
    x = 16,715.39

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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.