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Finding the Fourth Proportional to 11,874.94, 17,820.39 and 6,332.11

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Solution

The fourth proportional to 11,874.94, 17,820.39 and 6,332.11 is: 9,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.94 : 17,820.39 = 6,332.11 : x
  2. Step 2: Convert to fraction form
    11,874.94/17,820.39 = 6,332.11/x
  3. Step 3: Cross multiply
    11,874.94x = 17,820.39 × 6,332.11
  4. Step 4: Simplify right side
    11,874.94x = 112,840,669.72
  5. Step 5: Solve for x
    x = 112,840,669.72/11,874.94
  6. Step 6: Final answer
    x = 9,502.42

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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.