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Finding the Fourth Proportional to 23,028.84, 34,543.26 and 7,447.68

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Solution

The fourth proportional to 23,028.84, 34,543.26 and 7,447.68 is: 11,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028.84 : 34,543.26 = 7,447.68 : x
  2. Step 2: Convert to fraction form
    23,028.84/34,543.26 = 7,447.68/x
  3. Step 3: Cross multiply
    23,028.84x = 34,543.26 × 7,447.68
  4. Step 4: Simplify right side
    23,028.84x = 257,267,146.64
  5. Step 5: Solve for x
    x = 257,267,146.64/23,028.84
  6. Step 6: Final answer
    x = 11,171.52

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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.