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Finding the Fourth Proportional to 20,637.84, 30,926.52 and 12,822.96

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Solution

The fourth proportional to 20,637.84, 30,926.52 and 12,822.96 is: 19,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,637.84 : 30,926.52 = 12,822.96 : x
  2. Step 2: Convert to fraction form
    20,637.84/30,926.52 = 12,822.96/x
  3. Step 3: Cross multiply
    20,637.84x = 30,926.52 × 12,822.96
  4. Step 4: Simplify right side
    20,637.84x = 396,569,528.90
  5. Step 5: Solve for x
    x = 396,569,528.90/20,637.84
  6. Step 6: Final answer
    x = 19,215.65

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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.