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Finding the Fourth Proportional to 16,381.17, 24,576 and 4,695.30

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Solution

The fourth proportional to 16,381.17, 24,576 and 4,695.30 is: 7,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.17 : 24,576 = 4,695.30 : x
  2. Step 2: Convert to fraction form
    16,381.17/24,576 = 4,695.30/x
  3. Step 3: Cross multiply
    16,381.17x = 24,576 × 4,695.30
  4. Step 4: Simplify right side
    16,381.17x = 115,391,692.80
  5. Step 5: Solve for x
    x = 115,391,692.80/16,381.17
  6. Step 6: Final answer
    x = 7,044.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.