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Finding the Fourth Proportional to 12,431.56, 18,653.58 and 5,857

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Solution

The fourth proportional to 12,431.56, 18,653.58 and 5,857 is: 8,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.56 : 18,653.58 = 5,857 : x
  2. Step 2: Convert to fraction form
    12,431.56/18,653.58 = 5,857/x
  3. Step 3: Cross multiply
    12,431.56x = 18,653.58 × 5,857
  4. Step 4: Simplify right side
    12,431.56x = 109,254,018.06
  5. Step 5: Solve for x
    x = 109,254,018.06/12,431.56
  6. Step 6: Final answer
    x = 8,788.44

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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.