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Finding the Fourth Proportional to 12,201.65, 18,303.84 and 4,805.13

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Solution

The fourth proportional to 12,201.65, 18,303.84 and 4,805.13 is: 7,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.65 : 18,303.84 = 4,805.13 : x
  2. Step 2: Convert to fraction form
    12,201.65/18,303.84 = 4,805.13/x
  3. Step 3: Cross multiply
    12,201.65x = 18,303.84 × 4,805.13
  4. Step 4: Simplify right side
    12,201.65x = 87,952,330.70
  5. Step 5: Solve for x
    x = 87,952,330.70/12,201.65
  6. Step 6: Final answer
    x = 7,208.24

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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.