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Finding the Fourth Proportional to 21,515.81, 29,691.83 and 12,084.38

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Solution

The fourth proportional to 21,515.81, 29,691.83 and 12,084.38 is: 16,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,515.81 : 29,691.83 = 12,084.38 : x
  2. Step 2: Convert to fraction form
    21,515.81/29,691.83 = 12,084.38/x
  3. Step 3: Cross multiply
    21,515.81x = 29,691.83 × 12,084.38
  4. Step 4: Simplify right side
    21,515.81x = 358,807,238.37
  5. Step 5: Solve for x
    x = 358,807,238.37/21,515.81
  6. Step 6: Final answer
    x = 16,676.44

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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.