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Finding the Fourth Proportional to 17,411.11, 26,121.08 and 8,057.86

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Solution

The fourth proportional to 17,411.11, 26,121.08 and 8,057.86 is: 12,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.11 : 26,121.08 = 8,057.86 : x
  2. Step 2: Convert to fraction form
    17,411.11/26,121.08 = 8,057.86/x
  3. Step 3: Cross multiply
    17,411.11x = 26,121.08 × 8,057.86
  4. Step 4: Simplify right side
    17,411.11x = 210,480,107.46
  5. Step 5: Solve for x
    x = 210,480,107.46/17,411.11
  6. Step 6: Final answer
    x = 12,088.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.