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Finding the Fourth Proportional to 14,630.90, 20,190.49 and 7,916.38

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Solution

The fourth proportional to 14,630.90, 20,190.49 and 7,916.38 is: 10,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.90 : 20,190.49 = 7,916.38 : x
  2. Step 2: Convert to fraction form
    14,630.90/20,190.49 = 7,916.38/x
  3. Step 3: Cross multiply
    14,630.90x = 20,190.49 × 7,916.38
  4. Step 4: Simplify right side
    14,630.90x = 159,835,520.96
  5. Step 5: Solve for x
    x = 159,835,520.96/14,630.90
  6. Step 6: Final answer
    x = 10,924.52

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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.