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Finding the Fourth Proportional to 14,460.72, 21,676.41 and 5,692.20

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Solution

The fourth proportional to 14,460.72, 21,676.41 and 5,692.20 is: 8,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.72 : 21,676.41 = 5,692.20 : x
  2. Step 2: Convert to fraction form
    14,460.72/21,676.41 = 5,692.20/x
  3. Step 3: Cross multiply
    14,460.72x = 21,676.41 × 5,692.20
  4. Step 4: Simplify right side
    14,460.72x = 123,386,461.00
  5. Step 5: Solve for x
    x = 123,386,461.00/14,460.72
  6. Step 6: Final answer
    x = 8,532.53

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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.