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Finding the Fourth Proportional to 13,278.38, 18,325.04 and 7,689.38

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Solution

The fourth proportional to 13,278.38, 18,325.04 and 7,689.38 is: 10,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.38 : 18,325.04 = 7,689.38 : x
  2. Step 2: Convert to fraction form
    13,278.38/18,325.04 = 7,689.38/x
  3. Step 3: Cross multiply
    13,278.38x = 18,325.04 × 7,689.38
  4. Step 4: Simplify right side
    13,278.38x = 140,908,066.00
  5. Step 5: Solve for x
    x = 140,908,066.00/13,278.38
  6. Step 6: Final answer
    x = 10,611.85

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Why These Related Problems?

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