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Finding the Fourth Proportional to 12,660.94, 17,447.43 and 9,117.46

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Solution

The fourth proportional to 12,660.94, 17,447.43 and 9,117.46 is: 12,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.94 : 17,447.43 = 9,117.46 : x
  2. Step 2: Convert to fraction form
    12,660.94/17,447.43 = 9,117.46/x
  3. Step 3: Cross multiply
    12,660.94x = 17,447.43 × 9,117.46
  4. Step 4: Simplify right side
    12,660.94x = 159,076,245.13
  5. Step 5: Solve for x
    x = 159,076,245.13/12,660.94
  6. Step 6: Final answer
    x = 12,564.33

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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.