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Finding the Fourth Proportional to 12,305.83, 18,447.39 and 4,908.50

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Solution

The fourth proportional to 12,305.83, 18,447.39 and 4,908.50 is: 7,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.83 : 18,447.39 = 4,908.50 : x
  2. Step 2: Convert to fraction form
    12,305.83/18,447.39 = 4,908.50/x
  3. Step 3: Cross multiply
    12,305.83x = 18,447.39 × 4,908.50
  4. Step 4: Simplify right side
    12,305.83x = 90,549,013.82
  5. Step 5: Solve for x
    x = 90,549,013.82/12,305.83
  6. Step 6: Final answer
    x = 7,358.22

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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.