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Finding the Fourth Proportional to 14,504.70, 21,744.48 and 8,649

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Solution

The fourth proportional to 14,504.70, 21,744.48 and 8,649 is: 12,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.70 : 21,744.48 = 8,649 : x
  2. Step 2: Convert to fraction form
    14,504.70/21,744.48 = 8,649/x
  3. Step 3: Cross multiply
    14,504.70x = 21,744.48 × 8,649
  4. Step 4: Simplify right side
    14,504.70x = 188,068,007.52
  5. Step 5: Solve for x
    x = 188,068,007.52/14,504.70
  6. Step 6: Final answer
    x = 12,966.00

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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.