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Finding the Fourth Proportional to 12,097.53, 18,146.30 and 3,334.95

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Solution

The fourth proportional to 12,097.53, 18,146.30 and 3,334.95 is: 5,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.53 : 18,146.30 = 3,334.95 : x
  2. Step 2: Convert to fraction form
    12,097.53/18,146.30 = 3,334.95/x
  3. Step 3: Cross multiply
    12,097.53x = 18,146.30 × 3,334.95
  4. Step 4: Simplify right side
    12,097.53x = 60,516,986.51
  5. Step 5: Solve for x
    x = 60,516,986.51/12,097.53
  6. Step 6: Final answer
    x = 5,002.43

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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.