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Finding the Fourth Proportional to 12,209.64, 18,315.93 and 3,886.74

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Solution

The fourth proportional to 12,209.64, 18,315.93 and 3,886.74 is: 5,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.64 : 18,315.93 = 3,886.74 : x
  2. Step 2: Convert to fraction form
    12,209.64/18,315.93 = 3,886.74/x
  3. Step 3: Cross multiply
    12,209.64x = 18,315.93 × 3,886.74
  4. Step 4: Simplify right side
    12,209.64x = 71,189,257.77
  5. Step 5: Solve for x
    x = 71,189,257.77/12,209.64
  6. Step 6: Final answer
    x = 5,830.58

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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.