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Finding the Fourth Proportional to 15,847.66, 21,874.62 and 9,137.76

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Solution

The fourth proportional to 15,847.66, 21,874.62 and 9,137.76 is: 12,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.66 : 21,874.62 = 9,137.76 : x
  2. Step 2: Convert to fraction form
    15,847.66/21,874.62 = 9,137.76/x
  3. Step 3: Cross multiply
    15,847.66x = 21,874.62 × 9,137.76
  4. Step 4: Simplify right side
    15,847.66x = 199,885,027.65
  5. Step 5: Solve for x
    x = 199,885,027.65/15,847.66
  6. Step 6: Final answer
    x = 12,612.90

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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.