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Finding the Fourth Proportional to 14,604.49, 21,900.25 and 9,057.61

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Solution

The fourth proportional to 14,604.49, 21,900.25 and 9,057.61 is: 13,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.49 : 21,900.25 = 9,057.61 : x
  2. Step 2: Convert to fraction form
    14,604.49/21,900.25 = 9,057.61/x
  3. Step 3: Cross multiply
    14,604.49x = 21,900.25 × 9,057.61
  4. Step 4: Simplify right side
    14,604.49x = 198,363,923.40
  5. Step 5: Solve for x
    x = 198,363,923.40/14,604.49
  6. Step 6: Final answer
    x = 13,582.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.