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Finding the Fourth Proportional to 30,209.16, 41,690.03 and 16,780.47

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Solution

The fourth proportional to 30,209.16, 41,690.03 and 16,780.47 is: 23,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.16 : 41,690.03 = 16,780.47 : x
  2. Step 2: Convert to fraction form
    30,209.16/41,690.03 = 16,780.47/x
  3. Step 3: Cross multiply
    30,209.16x = 41,690.03 × 16,780.47
  4. Step 4: Simplify right side
    30,209.16x = 699,578,297.71
  5. Step 5: Solve for x
    x = 699,578,297.71/30,209.16
  6. Step 6: Final answer
    x = 23,157.82

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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.