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Finding the Fourth Proportional to 12,945.68, 17,871.05 and 9,760.26

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Solution

The fourth proportional to 12,945.68, 17,871.05 and 9,760.26 is: 13,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.68 : 17,871.05 = 9,760.26 : x
  2. Step 2: Convert to fraction form
    12,945.68/17,871.05 = 9,760.26/x
  3. Step 3: Cross multiply
    12,945.68x = 17,871.05 × 9,760.26
  4. Step 4: Simplify right side
    12,945.68x = 174,426,185.89
  5. Step 5: Solve for x
    x = 174,426,185.89/12,945.68
  6. Step 6: Final answer
    x = 13,473.70

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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.