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Finding the Fourth Proportional to 12,827.77, 19,216.05 and 8,431.90

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Solution

The fourth proportional to 12,827.77, 19,216.05 and 8,431.90 is: 12,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.77 : 19,216.05 = 8,431.90 : x
  2. Step 2: Convert to fraction form
    12,827.77/19,216.05 = 8,431.90/x
  3. Step 3: Cross multiply
    12,827.77x = 19,216.05 × 8,431.90
  4. Step 4: Simplify right side
    12,827.77x = 162,027,812.00
  5. Step 5: Solve for x
    x = 162,027,812.00/12,827.77
  6. Step 6: Final answer
    x = 12,631.02

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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.