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Finding the Fourth Proportional to 18,673.76, 28,009.56 and 8,282

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Solution

The fourth proportional to 18,673.76, 28,009.56 and 8,282 is: 12,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,673.76 : 28,009.56 = 8,282 : x
  2. Step 2: Convert to fraction form
    18,673.76/28,009.56 = 8,282/x
  3. Step 3: Cross multiply
    18,673.76x = 28,009.56 × 8,282
  4. Step 4: Simplify right side
    18,673.76x = 231,975,175.92
  5. Step 5: Solve for x
    x = 231,975,175.92/18,673.76
  6. Step 6: Final answer
    x = 12,422.52

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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.