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Finding the Fourth Proportional to 13,461.27, 18,566.06 and 9,214.85

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Solution

The fourth proportional to 13,461.27, 18,566.06 and 9,214.85 is: 12,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.27 : 18,566.06 = 9,214.85 : x
  2. Step 2: Convert to fraction form
    13,461.27/18,566.06 = 9,214.85/x
  3. Step 3: Cross multiply
    13,461.27x = 18,566.06 × 9,214.85
  4. Step 4: Simplify right side
    13,461.27x = 171,083,319.09
  5. Step 5: Solve for x
    x = 171,083,319.09/13,461.27
  6. Step 6: Final answer
    x = 12,709.30

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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.