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Finding the Fourth Proportional to 12,905.84, 17,816.64 and 9,131.96

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Solution

The fourth proportional to 12,905.84, 17,816.64 and 9,131.96 is: 12,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.84 : 17,816.64 = 9,131.96 : x
  2. Step 2: Convert to fraction form
    12,905.84/17,816.64 = 9,131.96/x
  3. Step 3: Cross multiply
    12,905.84x = 17,816.64 × 9,131.96
  4. Step 4: Simplify right side
    12,905.84x = 162,700,843.81
  5. Step 5: Solve for x
    x = 162,700,843.81/12,905.84
  6. Step 6: Final answer
    x = 12,606.76

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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.