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Finding the Fourth Proportional to 12,651.60, 18,954.64 and 7,454.64

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Solution

The fourth proportional to 12,651.60, 18,954.64 and 7,454.64 is: 11,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.60 : 18,954.64 = 7,454.64 : x
  2. Step 2: Convert to fraction form
    12,651.60/18,954.64 = 7,454.64/x
  3. Step 3: Cross multiply
    12,651.60x = 18,954.64 × 7,454.64
  4. Step 4: Simplify right side
    12,651.60x = 141,300,017.53
  5. Step 5: Solve for x
    x = 141,300,017.53/12,651.60
  6. Step 6: Final answer
    x = 11,168.55

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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.