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Finding the Fourth Proportional to 12,646.95, 18,970.77 and 3,286.76

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Solution

The fourth proportional to 12,646.95, 18,970.77 and 3,286.76 is: 4,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.95 : 18,970.77 = 3,286.76 : x
  2. Step 2: Convert to fraction form
    12,646.95/18,970.77 = 3,286.76/x
  3. Step 3: Cross multiply
    12,646.95x = 18,970.77 × 3,286.76
  4. Step 4: Simplify right side
    12,646.95x = 62,352,368.01
  5. Step 5: Solve for x
    x = 62,352,368.01/12,646.95
  6. Step 6: Final answer
    x = 4,930.23

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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.