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Finding the Fourth Proportional to 12,205.24, 18,303.90 and 3,437.80

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Solution

The fourth proportional to 12,205.24, 18,303.90 and 3,437.80 is: 5,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.24 : 18,303.90 = 3,437.80 : x
  2. Step 2: Convert to fraction form
    12,205.24/18,303.90 = 3,437.80/x
  3. Step 3: Cross multiply
    12,205.24x = 18,303.90 × 3,437.80
  4. Step 4: Simplify right side
    12,205.24x = 62,925,147.42
  5. Step 5: Solve for x
    x = 62,925,147.42/12,205.24
  6. Step 6: Final answer
    x = 5,155.58

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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.