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Finding the Fourth Proportional to 12,749.70, 17,593.05 and 7,084.42

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Solution

The fourth proportional to 12,749.70, 17,593.05 and 7,084.42 is: 9,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.70 : 17,593.05 = 7,084.42 : x
  2. Step 2: Convert to fraction form
    12,749.70/17,593.05 = 7,084.42/x
  3. Step 3: Cross multiply
    12,749.70x = 17,593.05 × 7,084.42
  4. Step 4: Simplify right side
    12,749.70x = 124,636,555.28
  5. Step 5: Solve for x
    x = 124,636,555.28/12,749.70
  6. Step 6: Final answer
    x = 9,775.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.