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Finding the Fourth Proportional to 12,776.91, 17,632.47 and 7,034.54

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Solution

The fourth proportional to 12,776.91, 17,632.47 and 7,034.54 is: 9,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.91 : 17,632.47 = 7,034.54 : x
  2. Step 2: Convert to fraction form
    12,776.91/17,632.47 = 7,034.54/x
  3. Step 3: Cross multiply
    12,776.91x = 17,632.47 × 7,034.54
  4. Step 4: Simplify right side
    12,776.91x = 124,036,285.96
  5. Step 5: Solve for x
    x = 124,036,285.96/12,776.91
  6. Step 6: Final answer
    x = 9,707.85

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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.