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Finding the Fourth Proportional to 21,876.14, 30,189.17 and 12,316.19

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Solution

The fourth proportional to 21,876.14, 30,189.17 and 12,316.19 is: 16,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.14 : 30,189.17 = 12,316.19 : x
  2. Step 2: Convert to fraction form
    21,876.14/30,189.17 = 12,316.19/x
  3. Step 3: Cross multiply
    21,876.14x = 30,189.17 × 12,316.19
  4. Step 4: Simplify right side
    21,876.14x = 371,815,492.08
  5. Step 5: Solve for x
    x = 371,815,492.08/21,876.14
  6. Step 6: Final answer
    x = 16,996.39

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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.