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Finding the Fourth Proportional to 23,710.46, 35,538.68 and 7,911.78

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Solution

The fourth proportional to 23,710.46, 35,538.68 and 7,911.78 is: 11,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.46 : 35,538.68 = 7,911.78 : x
  2. Step 2: Convert to fraction form
    23,710.46/35,538.68 = 7,911.78/x
  3. Step 3: Cross multiply
    23,710.46x = 35,538.68 × 7,911.78
  4. Step 4: Simplify right side
    23,710.46x = 281,174,104.16
  5. Step 5: Solve for x
    x = 281,174,104.16/23,710.46
  6. Step 6: Final answer
    x = 11,858.65

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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.