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Finding the Fourth Proportional to 12,662.64, 19,005.45 and 6,744.48

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Solution

The fourth proportional to 12,662.64, 19,005.45 and 6,744.48 is: 10,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.64 : 19,005.45 = 6,744.48 : x
  2. Step 2: Convert to fraction form
    12,662.64/19,005.45 = 6,744.48/x
  3. Step 3: Cross multiply
    12,662.64x = 19,005.45 × 6,744.48
  4. Step 4: Simplify right side
    12,662.64x = 128,181,877.42
  5. Step 5: Solve for x
    x = 128,181,877.42/12,662.64
  6. Step 6: Final answer
    x = 10,122.84

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