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Finding the Fourth Proportional to 34,776.54, 52,165.22 and 9,817.20

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Solution

The fourth proportional to 34,776.54, 52,165.22 and 9,817.20 is: 14,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776.54 : 52,165.22 = 9,817.20 : x
  2. Step 2: Convert to fraction form
    34,776.54/52,165.22 = 9,817.20/x
  3. Step 3: Cross multiply
    34,776.54x = 52,165.22 × 9,817.20
  4. Step 4: Simplify right side
    34,776.54x = 512,116,348.70
  5. Step 5: Solve for x
    x = 512,116,348.70/34,776.54
  6. Step 6: Final answer
    x = 14,725.91

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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.