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Finding the Fourth Proportional to 13,146.54, 18,142.68 and 7,482.14

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Solution

The fourth proportional to 13,146.54, 18,142.68 and 7,482.14 is: 10,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.54 : 18,142.68 = 7,482.14 : x
  2. Step 2: Convert to fraction form
    13,146.54/18,142.68 = 7,482.14/x
  3. Step 3: Cross multiply
    13,146.54x = 18,142.68 × 7,482.14
  4. Step 4: Simplify right side
    13,146.54x = 135,745,981.02
  5. Step 5: Solve for x
    x = 135,745,981.02/13,146.54
  6. Step 6: Final answer
    x = 10,325.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.