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Finding the Fourth Proportional to 13,282.64, 19,936.27 and 6,713.45

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Solution

The fourth proportional to 13,282.64, 19,936.27 and 6,713.45 is: 10,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.64 : 19,936.27 = 6,713.45 : x
  2. Step 2: Convert to fraction form
    13,282.64/19,936.27 = 6,713.45/x
  3. Step 3: Cross multiply
    13,282.64x = 19,936.27 × 6,713.45
  4. Step 4: Simplify right side
    13,282.64x = 133,841,151.83
  5. Step 5: Solve for x
    x = 133,841,151.83/13,282.64
  6. Step 6: Final answer
    x = 10,076.40

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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.