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Finding the Fourth Proportional to 16,477.65, 22,749.63 and 10,822.44

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Solution

The fourth proportional to 16,477.65, 22,749.63 and 10,822.44 is: 14,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.65 : 22,749.63 = 10,822.44 : x
  2. Step 2: Convert to fraction form
    16,477.65/22,749.63 = 10,822.44/x
  3. Step 3: Cross multiply
    16,477.65x = 22,749.63 × 10,822.44
  4. Step 4: Simplify right side
    16,477.65x = 246,206,505.70
  5. Step 5: Solve for x
    x = 246,206,505.70/16,477.65
  6. Step 6: Final answer
    x = 14,941.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.