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Finding the Fourth Proportional to 12,133.63, 16,746.03 and 7,944.31

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Solution

The fourth proportional to 12,133.63, 16,746.03 and 7,944.31 is: 10,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.63 : 16,746.03 = 7,944.31 : x
  2. Step 2: Convert to fraction form
    12,133.63/16,746.03 = 7,944.31/x
  3. Step 3: Cross multiply
    12,133.63x = 16,746.03 × 7,944.31
  4. Step 4: Simplify right side
    12,133.63x = 133,035,530.14
  5. Step 5: Solve for x
    x = 133,035,530.14/12,133.63
  6. Step 6: Final answer
    x = 10,964.20

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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.