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Finding the Fourth Proportional to 20,926.84, 31,363.57 and 9,809.04

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Solution

The fourth proportional to 20,926.84, 31,363.57 and 9,809.04 is: 14,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.84 : 31,363.57 = 9,809.04 : x
  2. Step 2: Convert to fraction form
    20,926.84/31,363.57 = 9,809.04/x
  3. Step 3: Cross multiply
    20,926.84x = 31,363.57 × 9,809.04
  4. Step 4: Simplify right side
    20,926.84x = 307,646,512.67
  5. Step 5: Solve for x
    x = 307,646,512.67/20,926.84
  6. Step 6: Final answer
    x = 14,701.05

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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.