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Finding the Fourth Proportional to 21,916.82, 30,237.82 and 12,478.70

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Solution

The fourth proportional to 21,916.82, 30,237.82 and 12,478.70 is: 17,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,916.82 : 30,237.82 = 12,478.70 : x
  2. Step 2: Convert to fraction form
    21,916.82/30,237.82 = 12,478.70/x
  3. Step 3: Cross multiply
    21,916.82x = 30,237.82 × 12,478.70
  4. Step 4: Simplify right side
    21,916.82x = 377,328,470.85
  5. Step 5: Solve for x
    x = 377,328,470.85/21,916.82
  6. Step 6: Final answer
    x = 17,216.39

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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.