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Finding the Fourth Proportional to 30,146.09, 41,604.09 and 16,721.68

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Solution

The fourth proportional to 30,146.09, 41,604.09 and 16,721.68 is: 23,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.09 : 41,604.09 = 16,721.68 : x
  2. Step 2: Convert to fraction form
    30,146.09/41,604.09 = 16,721.68/x
  3. Step 3: Cross multiply
    30,146.09x = 41,604.09 × 16,721.68
  4. Step 4: Simplify right side
    30,146.09x = 695,690,279.67
  5. Step 5: Solve for x
    x = 695,690,279.67/30,146.09
  6. Step 6: Final answer
    x = 23,077.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.