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Finding the Fourth Proportional to 13,282, 19,905.94 and 6,693.44

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Solution

The fourth proportional to 13,282, 19,905.94 and 6,693.44 is: 10,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282 : 19,905.94 = 6,693.44 : x
  2. Step 2: Convert to fraction form
    13,282/19,905.94 = 6,693.44/x
  3. Step 3: Cross multiply
    13,282x = 19,905.94 × 6,693.44
  4. Step 4: Simplify right side
    13,282x = 133,239,215.03
  5. Step 5: Solve for x
    x = 133,239,215.03/13,282
  6. Step 6: Final answer
    x = 10,031.56

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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.