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Finding the Fourth Proportional to 23,646.69, 35,474.22 and 7,852.68

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Solution

The fourth proportional to 23,646.69, 35,474.22 and 7,852.68 is: 11,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.69 : 35,474.22 = 7,852.68 : x
  2. Step 2: Convert to fraction form
    23,646.69/35,474.22 = 7,852.68/x
  3. Step 3: Cross multiply
    23,646.69x = 35,474.22 × 7,852.68
  4. Step 4: Simplify right side
    23,646.69x = 278,567,697.91
  5. Step 5: Solve for x
    x = 278,567,697.91/23,646.69
  6. Step 6: Final answer
    x = 11,780.41

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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.