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Finding the Fourth Proportional to 30,207.84, 41,686.29 and 16,778.58

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Solution

The fourth proportional to 30,207.84, 41,686.29 and 16,778.58 is: 23,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.84 : 41,686.29 = 16,778.58 : x
  2. Step 2: Convert to fraction form
    30,207.84/41,686.29 = 16,778.58/x
  3. Step 3: Cross multiply
    30,207.84x = 41,686.29 × 16,778.58
  4. Step 4: Simplify right side
    30,207.84x = 699,436,751.67
  5. Step 5: Solve for x
    x = 699,436,751.67/30,207.84
  6. Step 6: Final answer
    x = 23,154.15

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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.