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Finding the Fourth Proportional to 23,228.28, 34,847.82 and 7,646.04

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Solution

The fourth proportional to 23,228.28, 34,847.82 and 7,646.04 is: 11,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.28 : 34,847.82 = 7,646.04 : x
  2. Step 2: Convert to fraction form
    23,228.28/34,847.82 = 7,646.04/x
  3. Step 3: Cross multiply
    23,228.28x = 34,847.82 × 7,646.04
  4. Step 4: Simplify right side
    23,228.28x = 266,447,825.63
  5. Step 5: Solve for x
    x = 266,447,825.63/23,228.28
  6. Step 6: Final answer
    x = 11,470.84

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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.