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Finding the Fourth Proportional to 14,617.70, 21,929.82 and 6,822.26

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Solution

The fourth proportional to 14,617.70, 21,929.82 and 6,822.26 is: 10,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.70 : 21,929.82 = 6,822.26 : x
  2. Step 2: Convert to fraction form
    14,617.70/21,929.82 = 6,822.26/x
  3. Step 3: Cross multiply
    14,617.70x = 21,929.82 × 6,822.26
  4. Step 4: Simplify right side
    14,617.70x = 149,610,933.79
  5. Step 5: Solve for x
    x = 149,610,933.79/14,617.70
  6. Step 6: Final answer
    x = 10,234.92

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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.