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Finding the Fourth Proportional to 14,648.06, 20,215.78 and 8,361.38

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Solution

The fourth proportional to 14,648.06, 20,215.78 and 8,361.38 is: 11,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.06 : 20,215.78 = 8,361.38 : x
  2. Step 2: Convert to fraction form
    14,648.06/20,215.78 = 8,361.38/x
  3. Step 3: Cross multiply
    14,648.06x = 20,215.78 × 8,361.38
  4. Step 4: Simplify right side
    14,648.06x = 169,031,818.58
  5. Step 5: Solve for x
    x = 169,031,818.58/14,648.06
  6. Step 6: Final answer
    x = 11,539.54

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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.