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Finding the Fourth Proportional to 18,834.30, 25,980.21 and 12,117.78

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Solution

The fourth proportional to 18,834.30, 25,980.21 and 12,117.78 is: 16,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,834.30 : 25,980.21 = 12,117.78 : x
  2. Step 2: Convert to fraction form
    18,834.30/25,980.21 = 12,117.78/x
  3. Step 3: Cross multiply
    18,834.30x = 25,980.21 × 12,117.78
  4. Step 4: Simplify right side
    18,834.30x = 314,822,469.13
  5. Step 5: Solve for x
    x = 314,822,469.13/18,834.30
  6. Step 6: Final answer
    x = 16,715.38

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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.