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Finding the Fourth Proportional to 13,402.94, 18,508.50 and 8,631.16

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Solution

The fourth proportional to 13,402.94, 18,508.50 and 8,631.16 is: 11,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.94 : 18,508.50 = 8,631.16 : x
  2. Step 2: Convert to fraction form
    13,402.94/18,508.50 = 8,631.16/x
  3. Step 3: Cross multiply
    13,402.94x = 18,508.50 × 8,631.16
  4. Step 4: Simplify right side
    13,402.94x = 159,749,824.86
  5. Step 5: Solve for x
    x = 159,749,824.86/13,402.94
  6. Step 6: Final answer
    x = 11,919.01

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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.