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Finding the Fourth Proportional to 21,606, 29,818.92 and 12,176.28

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Solution

The fourth proportional to 21,606, 29,818.92 and 12,176.28 is: 16,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606 : 29,818.92 = 12,176.28 : x
  2. Step 2: Convert to fraction form
    21,606/29,818.92 = 12,176.28/x
  3. Step 3: Cross multiply
    21,606x = 29,818.92 × 12,176.28
  4. Step 4: Simplify right side
    21,606x = 363,083,519.22
  5. Step 5: Solve for x
    x = 363,083,519.22/21,606
  6. Step 6: Final answer
    x = 16,804.75

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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.