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Finding the Fourth Proportional to 25,916.70, 35,769.94 and 16,230.66

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Solution

The fourth proportional to 25,916.70, 35,769.94 and 16,230.66 is: 22,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916.70 : 35,769.94 = 16,230.66 : x
  2. Step 2: Convert to fraction form
    25,916.70/35,769.94 = 16,230.66/x
  3. Step 3: Cross multiply
    25,916.70x = 35,769.94 × 16,230.66
  4. Step 4: Simplify right side
    25,916.70x = 580,569,734.36
  5. Step 5: Solve for x
    x = 580,569,734.36/25,916.70
  6. Step 6: Final answer
    x = 22,401.38

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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.