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Finding the Fourth Proportional to 20,194.40, 30,295.07 and 7,715.54

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Solution

The fourth proportional to 20,194.40, 30,295.07 and 7,715.54 is: 11,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.40 : 30,295.07 = 7,715.54 : x
  2. Step 2: Convert to fraction form
    20,194.40/30,295.07 = 7,715.54/x
  3. Step 3: Cross multiply
    20,194.40x = 30,295.07 × 7,715.54
  4. Step 4: Simplify right side
    20,194.40x = 233,742,824.39
  5. Step 5: Solve for x
    x = 233,742,824.39/20,194.40
  6. Step 6: Final answer
    x = 11,574.64

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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.