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Finding the Fourth Proportional to 21,518.16, 29,691.84 and 12,084.92

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Solution

The fourth proportional to 21,518.16, 29,691.84 and 12,084.92 is: 16,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,518.16 : 29,691.84 = 12,084.92 : x
  2. Step 2: Convert to fraction form
    21,518.16/29,691.84 = 12,084.92/x
  3. Step 3: Cross multiply
    21,518.16x = 29,691.84 × 12,084.92
  4. Step 4: Simplify right side
    21,518.16x = 358,823,511.05
  5. Step 5: Solve for x
    x = 358,823,511.05/21,518.16
  6. Step 6: Final answer
    x = 16,675.38

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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.