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Finding the Fourth Proportional to 12,100.42, 16,702.06 and 7,320.38

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Solution

The fourth proportional to 12,100.42, 16,702.06 and 7,320.38 is: 10,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.42 : 16,702.06 = 7,320.38 : x
  2. Step 2: Convert to fraction form
    12,100.42/16,702.06 = 7,320.38/x
  3. Step 3: Cross multiply
    12,100.42x = 16,702.06 × 7,320.38
  4. Step 4: Simplify right side
    12,100.42x = 122,265,425.98
  5. Step 5: Solve for x
    x = 122,265,425.98/12,100.42
  6. Step 6: Final answer
    x = 10,104.23

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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.