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Finding the Fourth Proportional to 15,246.96, 22,859.51 and 6,922.82

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Solution

The fourth proportional to 15,246.96, 22,859.51 and 6,922.82 is: 10,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.96 : 22,859.51 = 6,922.82 : x
  2. Step 2: Convert to fraction form
    15,246.96/22,859.51 = 6,922.82/x
  3. Step 3: Cross multiply
    15,246.96x = 22,859.51 × 6,922.82
  4. Step 4: Simplify right side
    15,246.96x = 158,252,124.11
  5. Step 5: Solve for x
    x = 158,252,124.11/15,246.96
  6. Step 6: Final answer
    x = 10,379.26

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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.