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Finding the Fourth Proportional to 14,454.63, 21,684.41 and 4,966.49

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Solution

The fourth proportional to 14,454.63, 21,684.41 and 4,966.49 is: 7,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.63 : 21,684.41 = 4,966.49 : x
  2. Step 2: Convert to fraction form
    14,454.63/21,684.41 = 4,966.49/x
  3. Step 3: Cross multiply
    14,454.63x = 21,684.41 × 4,966.49
  4. Step 4: Simplify right side
    14,454.63x = 107,695,472.05
  5. Step 5: Solve for x
    x = 107,695,472.05/14,454.63
  6. Step 6: Final answer
    x = 7,450.59

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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.