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Finding the Fourth Proportional to 12,768.39, 17,620.32 and 7,102.98

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Solution

The fourth proportional to 12,768.39, 17,620.32 and 7,102.98 is: 9,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.39 : 17,620.32 = 7,102.98 : x
  2. Step 2: Convert to fraction form
    12,768.39/17,620.32 = 7,102.98/x
  3. Step 3: Cross multiply
    12,768.39x = 17,620.32 × 7,102.98
  4. Step 4: Simplify right side
    12,768.39x = 125,156,780.55
  5. Step 5: Solve for x
    x = 125,156,780.55/12,768.39
  6. Step 6: Final answer
    x = 9,802.08

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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.