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Finding the Fourth Proportional to 13,029.38, 17,995.39 and 8,830.34

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Solution

The fourth proportional to 13,029.38, 17,995.39 and 8,830.34 is: 12,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.38 : 17,995.39 = 8,830.34 : x
  2. Step 2: Convert to fraction form
    13,029.38/17,995.39 = 8,830.34/x
  3. Step 3: Cross multiply
    13,029.38x = 17,995.39 × 8,830.34
  4. Step 4: Simplify right side
    13,029.38x = 158,905,300.08
  5. Step 5: Solve for x
    x = 158,905,300.08/13,029.38
  6. Step 6: Final answer
    x = 12,195.93

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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.