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Finding the Fourth Proportional to 20,741.40, 31,106.52 and 7,593.84

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Solution

The fourth proportional to 20,741.40, 31,106.52 and 7,593.84 is: 11,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,741.40 : 31,106.52 = 7,593.84 : x
  2. Step 2: Convert to fraction form
    20,741.40/31,106.52 = 7,593.84/x
  3. Step 3: Cross multiply
    20,741.40x = 31,106.52 × 7,593.84
  4. Step 4: Simplify right side
    20,741.40x = 236,217,935.84
  5. Step 5: Solve for x
    x = 236,217,935.84/20,741.40
  6. Step 6: Final answer
    x = 11,388.72

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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.