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Finding the Fourth Proportional to 13,536.96, 18,671.76 and 8,827.62

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Solution

The fourth proportional to 13,536.96, 18,671.76 and 8,827.62 is: 12,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.96 : 18,671.76 = 8,827.62 : x
  2. Step 2: Convert to fraction form
    13,536.96/18,671.76 = 8,827.62/x
  3. Step 3: Cross multiply
    13,536.96x = 18,671.76 × 8,827.62
  4. Step 4: Simplify right side
    13,536.96x = 164,827,202.01
  5. Step 5: Solve for x
    x = 164,827,202.01/13,536.96
  6. Step 6: Final answer
    x = 12,176.09

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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.