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Finding the Fourth Proportional to 18,711.34, 25,822.13 and 10,646.30

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Solution

The fourth proportional to 18,711.34, 25,822.13 and 10,646.30 is: 14,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711.34 : 25,822.13 = 10,646.30 : x
  2. Step 2: Convert to fraction form
    18,711.34/25,822.13 = 10,646.30/x
  3. Step 3: Cross multiply
    18,711.34x = 25,822.13 × 10,646.30
  4. Step 4: Simplify right side
    18,711.34x = 274,910,153.94
  5. Step 5: Solve for x
    x = 274,910,153.94/18,711.34
  6. Step 6: Final answer
    x = 14,692.17

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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.