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Finding the Fourth Proportional to 16,484.75, 22,752.49 and 10,749.38

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Solution

The fourth proportional to 16,484.75, 22,752.49 and 10,749.38 is: 14,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.75 : 22,752.49 = 10,749.38 : x
  2. Step 2: Convert to fraction form
    16,484.75/22,752.49 = 10,749.38/x
  3. Step 3: Cross multiply
    16,484.75x = 22,752.49 × 10,749.38
  4. Step 4: Simplify right side
    16,484.75x = 244,575,020.32
  5. Step 5: Solve for x
    x = 244,575,020.32/16,484.75
  6. Step 6: Final answer
    x = 14,836.44

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Why These Related Problems?

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