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Finding the Fourth Proportional to 12,921.31, 17,833.06 and 7,884.46

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Solution

The fourth proportional to 12,921.31, 17,833.06 and 7,884.46 is: 10,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.31 : 17,833.06 = 7,884.46 : x
  2. Step 2: Convert to fraction form
    12,921.31/17,833.06 = 7,884.46/x
  3. Step 3: Cross multiply
    12,921.31x = 17,833.06 × 7,884.46
  4. Step 4: Simplify right side
    12,921.31x = 140,604,130.55
  5. Step 5: Solve for x
    x = 140,604,130.55/12,921.31
  6. Step 6: Final answer
    x = 10,881.57

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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.