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Finding the Fourth Proportional to 30,209.71, 41,688.53 and 16,780.63

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Solution

The fourth proportional to 30,209.71, 41,688.53 and 16,780.63 is: 23,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.71 : 41,688.53 = 16,780.63 : x
  2. Step 2: Convert to fraction form
    30,209.71/41,688.53 = 16,780.63/x
  3. Step 3: Cross multiply
    30,209.71x = 41,688.53 × 16,780.63
  4. Step 4: Simplify right side
    30,209.71x = 699,559,588.73
  5. Step 5: Solve for x
    x = 699,559,588.73/30,209.71
  6. Step 6: Final answer
    x = 23,156.78

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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.