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Finding the Fourth Proportional to 12,205.86, 18,308.53 and 3,886.45

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Solution

The fourth proportional to 12,205.86, 18,308.53 and 3,886.45 is: 5,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.86 : 18,308.53 = 3,886.45 : x
  2. Step 2: Convert to fraction form
    12,205.86/18,308.53 = 3,886.45/x
  3. Step 3: Cross multiply
    12,205.86x = 18,308.53 × 3,886.45
  4. Step 4: Simplify right side
    12,205.86x = 71,155,075.44
  5. Step 5: Solve for x
    x = 71,155,075.44/12,205.86
  6. Step 6: Final answer
    x = 5,829.59

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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.