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Finding the Fourth Proportional to 12,776.33, 17,631.48 and 7,034.43

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Solution

The fourth proportional to 12,776.33, 17,631.48 and 7,034.43 is: 9,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.33 : 17,631.48 = 7,034.43 : x
  2. Step 2: Convert to fraction form
    12,776.33/17,631.48 = 7,034.43/x
  3. Step 3: Cross multiply
    12,776.33x = 17,631.48 × 7,034.43
  4. Step 4: Simplify right side
    12,776.33x = 124,027,411.86
  5. Step 5: Solve for x
    x = 124,027,411.86/12,776.33
  6. Step 6: Final answer
    x = 9,707.59

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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.