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Finding the Fourth Proportional to 23,686.44, 35,533.17 and 7,886.31

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Solution

The fourth proportional to 23,686.44, 35,533.17 and 7,886.31 is: 11,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.44 : 35,533.17 = 7,886.31 : x
  2. Step 2: Convert to fraction form
    23,686.44/35,533.17 = 7,886.31/x
  3. Step 3: Cross multiply
    23,686.44x = 35,533.17 × 7,886.31
  4. Step 4: Simplify right side
    23,686.44x = 280,225,593.90
  5. Step 5: Solve for x
    x = 280,225,593.90/23,686.44
  6. Step 6: Final answer
    x = 11,830.63

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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.