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Finding the Fourth Proportional to 17,826, 26,729.19 and 12,210.15

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Solution

The fourth proportional to 17,826, 26,729.19 and 12,210.15 is: 18,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826 : 26,729.19 = 12,210.15 : x
  2. Step 2: Convert to fraction form
    17,826/26,729.19 = 12,210.15/x
  3. Step 3: Cross multiply
    17,826x = 26,729.19 × 12,210.15
  4. Step 4: Simplify right side
    17,826x = 326,367,419.28
  5. Step 5: Solve for x
    x = 326,367,419.28/17,826
  6. Step 6: Final answer
    x = 18,308.51

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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.