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Finding the Fourth Proportional to 27,500.80, 41,250.96 and 9,964

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Solution

The fourth proportional to 27,500.80, 41,250.96 and 9,964 is: 14,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,500.80 : 41,250.96 = 9,964 : x
  2. Step 2: Convert to fraction form
    27,500.80/41,250.96 = 9,964/x
  3. Step 3: Cross multiply
    27,500.80x = 41,250.96 × 9,964
  4. Step 4: Simplify right side
    27,500.80x = 411,024,565.44
  5. Step 5: Solve for x
    x = 411,024,565.44/27,500.80
  6. Step 6: Final answer
    x = 14,945.91

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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.