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Finding the Fourth Proportional to 12,767.82, 17,618.58 and 7,102.14

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Solution

The fourth proportional to 12,767.82, 17,618.58 and 7,102.14 is: 9,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.82 : 17,618.58 = 7,102.14 : x
  2. Step 2: Convert to fraction form
    12,767.82/17,618.58 = 7,102.14/x
  3. Step 3: Cross multiply
    12,767.82x = 17,618.58 × 7,102.14
  4. Step 4: Simplify right side
    12,767.82x = 125,129,621.76
  5. Step 5: Solve for x
    x = 125,129,621.76/12,767.82
  6. Step 6: Final answer
    x = 9,800.39

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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.