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Finding the Fourth Proportional to 12,647.46, 17,454.48 and 9,305.61

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Solution

The fourth proportional to 12,647.46, 17,454.48 and 9,305.61 is: 12,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.46 : 17,454.48 = 9,305.61 : x
  2. Step 2: Convert to fraction form
    12,647.46/17,454.48 = 9,305.61/x
  3. Step 3: Cross multiply
    12,647.46x = 17,454.48 × 9,305.61
  4. Step 4: Simplify right side
    12,647.46x = 162,424,583.63
  5. Step 5: Solve for x
    x = 162,424,583.63/12,647.46
  6. Step 6: Final answer
    x = 12,842.47

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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.