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Finding the Fourth Proportional to 14,310.72, 21,458.88 and 4,448

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Solution

The fourth proportional to 14,310.72, 21,458.88 and 4,448 is: 6,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.72 : 21,458.88 = 4,448 : x
  2. Step 2: Convert to fraction form
    14,310.72/21,458.88 = 4,448/x
  3. Step 3: Cross multiply
    14,310.72x = 21,458.88 × 4,448
  4. Step 4: Simplify right side
    14,310.72x = 95,449,098.24
  5. Step 5: Solve for x
    x = 95,449,098.24/14,310.72
  6. Step 6: Final answer
    x = 6,669.76

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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.