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Finding the Fourth Proportional to 12,770.96, 17,623.65 and 7,105.60

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Solution

The fourth proportional to 12,770.96, 17,623.65 and 7,105.60 is: 9,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.96 : 17,623.65 = 7,105.60 : x
  2. Step 2: Convert to fraction form
    12,770.96/17,623.65 = 7,105.60/x
  3. Step 3: Cross multiply
    12,770.96x = 17,623.65 × 7,105.60
  4. Step 4: Simplify right side
    12,770.96x = 125,226,519.32
  5. Step 5: Solve for x
    x = 125,226,519.32/12,770.96
  6. Step 6: Final answer
    x = 9,805.57

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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.