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Finding the Fourth Proportional to 16,730.70, 25,092 and 5,634.51

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Solution

The fourth proportional to 16,730.70, 25,092 and 5,634.51 is: 8,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.70 : 25,092 = 5,634.51 : x
  2. Step 2: Convert to fraction form
    16,730.70/25,092 = 5,634.51/x
  3. Step 3: Cross multiply
    16,730.70x = 25,092 × 5,634.51
  4. Step 4: Simplify right side
    16,730.70x = 141,381,124.92
  5. Step 5: Solve for x
    x = 141,381,124.92/16,730.70
  6. Step 6: Final answer
    x = 8,450.40

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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.