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Finding the Fourth Proportional to 23,503.14, 35,236.20 and 11,648.76

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Solution

The fourth proportional to 23,503.14, 35,236.20 and 11,648.76 is: 17,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.14 : 35,236.20 = 11,648.76 : x
  2. Step 2: Convert to fraction form
    23,503.14/35,236.20 = 11,648.76/x
  3. Step 3: Cross multiply
    23,503.14x = 35,236.20 × 11,648.76
  4. Step 4: Simplify right side
    23,503.14x = 410,458,037.11
  5. Step 5: Solve for x
    x = 410,458,037.11/23,503.14
  6. Step 6: Final answer
    x = 17,463.97

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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.