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Finding the Fourth Proportional to 20,320.53, 30,457.38 and 7,834.32

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Solution

The fourth proportional to 20,320.53, 30,457.38 and 7,834.32 is: 11,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320.53 : 30,457.38 = 7,834.32 : x
  2. Step 2: Convert to fraction form
    20,320.53/30,457.38 = 7,834.32/x
  3. Step 3: Cross multiply
    20,320.53x = 30,457.38 × 7,834.32
  4. Step 4: Simplify right side
    20,320.53x = 238,612,861.28
  5. Step 5: Solve for x
    x = 238,612,861.28/20,320.53
  6. Step 6: Final answer
    x = 11,742.45

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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.