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Finding the Fourth Proportional to 23,137.29, 31,916.03 and 15,594.03

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Solution

The fourth proportional to 23,137.29, 31,916.03 and 15,594.03 is: 21,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.29 : 31,916.03 = 15,594.03 : x
  2. Step 2: Convert to fraction form
    23,137.29/31,916.03 = 15,594.03/x
  3. Step 3: Cross multiply
    23,137.29x = 31,916.03 × 15,594.03
  4. Step 4: Simplify right side
    23,137.29x = 497,699,451.33
  5. Step 5: Solve for x
    x = 497,699,451.33/23,137.29
  6. Step 6: Final answer
    x = 21,510.71

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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.