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Finding the Fourth Proportional to 12,659.94, 17,446.05 and 9,116.46

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Solution

The fourth proportional to 12,659.94, 17,446.05 and 9,116.46 is: 12,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.94 : 17,446.05 = 9,116.46 : x
  2. Step 2: Convert to fraction form
    12,659.94/17,446.05 = 9,116.46/x
  3. Step 3: Cross multiply
    12,659.94x = 17,446.05 × 9,116.46
  4. Step 4: Simplify right side
    12,659.94x = 159,046,216.98
  5. Step 5: Solve for x
    x = 159,046,216.98/12,659.94
  6. Step 6: Final answer
    x = 12,562.95

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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.