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Finding the Fourth Proportional to 12,966, 19,447.92 and 3,732

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Solution

The fourth proportional to 12,966, 19,447.92 and 3,732 is: 5,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966 : 19,447.92 = 3,732 : x
  2. Step 2: Convert to fraction form
    12,966/19,447.92 = 3,732/x
  3. Step 3: Cross multiply
    12,966x = 19,447.92 × 3,732
  4. Step 4: Simplify right side
    12,966x = 72,579,637.44
  5. Step 5: Solve for x
    x = 72,579,637.44/12,966
  6. Step 6: Final answer
    x = 5,597.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.