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Finding the Fourth Proportional to 13,506.84, 18,636.35 and 8,127.83

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Solution

The fourth proportional to 13,506.84, 18,636.35 and 8,127.83 is: 11,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.84 : 18,636.35 = 8,127.83 : x
  2. Step 2: Convert to fraction form
    13,506.84/18,636.35 = 8,127.83/x
  3. Step 3: Cross multiply
    13,506.84x = 18,636.35 × 8,127.83
  4. Step 4: Simplify right side
    13,506.84x = 151,472,950.80
  5. Step 5: Solve for x
    x = 151,472,950.80/13,506.84
  6. Step 6: Final answer
    x = 11,214.54

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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.