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Finding the Fourth Proportional to 21,324.51, 31,915.62 and 16,046.69

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Solution

The fourth proportional to 21,324.51, 31,915.62 and 16,046.69 is: 24,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.51 : 31,915.62 = 16,046.69 : x
  2. Step 2: Convert to fraction form
    21,324.51/31,915.62 = 16,046.69/x
  3. Step 3: Cross multiply
    21,324.51x = 31,915.62 × 16,046.69
  4. Step 4: Simplify right side
    21,324.51x = 512,139,900.72
  5. Step 5: Solve for x
    x = 512,139,900.72/21,324.51
  6. Step 6: Final answer
    x = 24,016.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.