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Finding the Fourth Proportional to 12,646.50, 18,969.72 and 4,326.60

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Solution

The fourth proportional to 12,646.50, 18,969.72 and 4,326.60 is: 6,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.50 : 18,969.72 = 4,326.60 : x
  2. Step 2: Convert to fraction form
    12,646.50/18,969.72 = 4,326.60/x
  3. Step 3: Cross multiply
    12,646.50x = 18,969.72 × 4,326.60
  4. Step 4: Simplify right side
    12,646.50x = 82,074,390.55
  5. Step 5: Solve for x
    x = 82,074,390.55/12,646.50
  6. Step 6: Final answer
    x = 6,489.89

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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.