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Finding the Fourth Proportional to 23,656.52, 35,477.58 and 7,858.76

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Solution

The fourth proportional to 23,656.52, 35,477.58 and 7,858.76 is: 11,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.52 : 35,477.58 = 7,858.76 : x
  2. Step 2: Convert to fraction form
    23,656.52/35,477.58 = 7,858.76/x
  3. Step 3: Cross multiply
    23,656.52x = 35,477.58 × 7,858.76
  4. Step 4: Simplify right side
    23,656.52x = 278,809,786.60
  5. Step 5: Solve for x
    x = 278,809,786.60/23,656.52
  6. Step 6: Final answer
    x = 11,785.75

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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.