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Finding the Fourth Proportional to 20,709.79, 31,017.94 and 9,593.12

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Solution

The fourth proportional to 20,709.79, 31,017.94 and 9,593.12 is: 14,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.79 : 31,017.94 = 9,593.12 : x
  2. Step 2: Convert to fraction form
    20,709.79/31,017.94 = 9,593.12/x
  3. Step 3: Cross multiply
    20,709.79x = 31,017.94 × 9,593.12
  4. Step 4: Simplify right side
    20,709.79x = 297,558,820.57
  5. Step 5: Solve for x
    x = 297,558,820.57/20,709.79
  6. Step 6: Final answer
    x = 14,368.03

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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.