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Finding the Fourth Proportional to 30,297.30, 41,809.80 and 16,869.66

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Solution

The fourth proportional to 30,297.30, 41,809.80 and 16,869.66 is: 23,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.30 : 41,809.80 = 16,869.66 : x
  2. Step 2: Convert to fraction form
    30,297.30/41,809.80 = 16,869.66/x
  3. Step 3: Cross multiply
    30,297.30x = 41,809.80 × 16,869.66
  4. Step 4: Simplify right side
    30,297.30x = 705,317,110.67
  5. Step 5: Solve for x
    x = 705,317,110.67/30,297.30
  6. Step 6: Final answer
    x = 23,279.87

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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.