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Finding the Fourth Proportional to 12,135.39, 16,747.23 and 7,100.13

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Solution

The fourth proportional to 12,135.39, 16,747.23 and 7,100.13 is: 9,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.39 : 16,747.23 = 7,100.13 : x
  2. Step 2: Convert to fraction form
    12,135.39/16,747.23 = 7,100.13/x
  3. Step 3: Cross multiply
    12,135.39x = 16,747.23 × 7,100.13
  4. Step 4: Simplify right side
    12,135.39x = 118,907,510.14
  5. Step 5: Solve for x
    x = 118,907,510.14/12,135.39
  6. Step 6: Final answer
    x = 9,798.41

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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.