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Finding the Fourth Proportional to 12,303.83, 18,444.39 and 4,906.50

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Solution

The fourth proportional to 12,303.83, 18,444.39 and 4,906.50 is: 7,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.83 : 18,444.39 = 4,906.50 : x
  2. Step 2: Convert to fraction form
    12,303.83/18,444.39 = 4,906.50/x
  3. Step 3: Cross multiply
    12,303.83x = 18,444.39 × 4,906.50
  4. Step 4: Simplify right side
    12,303.83x = 90,497,399.54
  5. Step 5: Solve for x
    x = 90,497,399.54/12,303.83
  6. Step 6: Final answer
    x = 7,355.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.