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Finding the Fourth Proportional to 17,920.19, 26,894.19 and 12,412.13

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Solution

The fourth proportional to 17,920.19, 26,894.19 and 12,412.13 is: 18,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.19 : 26,894.19 = 12,412.13 : x
  2. Step 2: Convert to fraction form
    17,920.19/26,894.19 = 12,412.13/x
  3. Step 3: Cross multiply
    17,920.19x = 26,894.19 × 12,412.13
  4. Step 4: Simplify right side
    17,920.19x = 333,814,048.05
  5. Step 5: Solve for x
    x = 333,814,048.05/17,920.19
  6. Step 6: Final answer
    x = 18,627.82

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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.