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Finding the Fourth Proportional to 14,617.44, 21,929.40 and 6,822

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Solution

The fourth proportional to 14,617.44, 21,929.40 and 6,822 is: 10,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.44 : 21,929.40 = 6,822 : x
  2. Step 2: Convert to fraction form
    14,617.44/21,929.40 = 6,822/x
  3. Step 3: Cross multiply
    14,617.44x = 21,929.40 × 6,822
  4. Step 4: Simplify right side
    14,617.44x = 149,602,366.80
  5. Step 5: Solve for x
    x = 149,602,366.80/14,617.44
  6. Step 6: Final answer
    x = 10,234.51

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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.