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Finding the Fourth Proportional to 14,469.90, 21,713.46 and 6,464.04

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Solution

The fourth proportional to 14,469.90, 21,713.46 and 6,464.04 is: 9,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.90 : 21,713.46 = 6,464.04 : x
  2. Step 2: Convert to fraction form
    14,469.90/21,713.46 = 6,464.04/x
  3. Step 3: Cross multiply
    14,469.90x = 21,713.46 × 6,464.04
  4. Step 4: Simplify right side
    14,469.90x = 140,356,673.98
  5. Step 5: Solve for x
    x = 140,356,673.98/14,469.90
  6. Step 6: Final answer
    x = 9,699.91

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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.