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Finding the Fourth Proportional to 14,502.15, 21,761.46 and 8,646.48

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Solution

The fourth proportional to 14,502.15, 21,761.46 and 8,646.48 is: 12,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.15 : 21,761.46 = 8,646.48 : x
  2. Step 2: Convert to fraction form
    14,502.15/21,761.46 = 8,646.48/x
  3. Step 3: Cross multiply
    14,502.15x = 21,761.46 × 8,646.48
  4. Step 4: Simplify right side
    14,502.15x = 188,160,028.66
  5. Step 5: Solve for x
    x = 188,160,028.66/14,502.15
  6. Step 6: Final answer
    x = 12,974.63

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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.