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Finding the Fourth Proportional to 12,441.77, 18,637.64 and 6,182.83

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Solution

The fourth proportional to 12,441.77, 18,637.64 and 6,182.83 is: 9,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.77 : 18,637.64 = 6,182.83 : x
  2. Step 2: Convert to fraction form
    12,441.77/18,637.64 = 6,182.83/x
  3. Step 3: Cross multiply
    12,441.77x = 18,637.64 × 6,182.83
  4. Step 4: Simplify right side
    12,441.77x = 115,233,410.07
  5. Step 5: Solve for x
    x = 115,233,410.07/12,441.77
  6. Step 6: Final answer
    x = 9,261.82

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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.