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Finding the Fourth Proportional to 21,817.35, 30,106.89 and 12,385.71

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Solution

The fourth proportional to 21,817.35, 30,106.89 and 12,385.71 is: 17,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.35 : 30,106.89 = 12,385.71 : x
  2. Step 2: Convert to fraction form
    21,817.35/30,106.89 = 12,385.71/x
  3. Step 3: Cross multiply
    21,817.35x = 30,106.89 × 12,385.71
  4. Step 4: Simplify right side
    21,817.35x = 372,895,208.54
  5. Step 5: Solve for x
    x = 372,895,208.54/21,817.35
  6. Step 6: Final answer
    x = 17,091.68

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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.