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Finding the Fourth Proportional to 20,224.71, 30,317.47 and 7,735.12

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Solution

The fourth proportional to 20,224.71, 30,317.47 and 7,735.12 is: 11,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.71 : 30,317.47 = 7,735.12 : x
  2. Step 2: Convert to fraction form
    20,224.71/30,317.47 = 7,735.12/x
  3. Step 3: Cross multiply
    20,224.71x = 30,317.47 × 7,735.12
  4. Step 4: Simplify right side
    20,224.71x = 234,509,173.41
  5. Step 5: Solve for x
    x = 234,509,173.41/20,224.71
  6. Step 6: Final answer
    x = 11,595.18

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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.